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NDA Determinants PYQs with Solutions

130 previous year questions from Determinants (NDA Mathematics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

130 questionsMathematics2010–2026Answers + solutions

About Determinants PYQs

Determinants has 130 previous year questions in the Quantrex Academy NDA Mathematics bank. The 130 questions in this list come from NDA (130), spanning 2010 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2026: 5
  • 2025: 10
  • 2024: 3
  • 2023: 14
  • 2022: 9
  • 2021: 13
  • 2020: 3
  • 2019: 7
  • 2018: 6
  • 2017: 8
  • 2016: 9
  • 2015: 5

Determinants questions with solutions

1

Let p=(x+y+z) and q=xyz . If vmatrix x and 1 and 1 1 and y and 1 1 and 1 and z vmatrix is positive, then which one of the following is correct ?

NDA 2026 Solution View → 2

Let f(x)= vmatrix 3x^2 and x and - x 6 and -1 and 0 q and q^2 and q^3 vmatrix where q is any constant, then what is (d^2)/(dx^2) (f(x) ) at x=0 equal to ?

NDA 2026 Solution View → 3

If M= bmatrix 2 & 0 & 0 0 & 2 & 0 0 & 0 & 2 bmatrix , then what is the value of |M|\,|adjM| ?

NDA 2026 Solution View → 4

If vmatrix a-b and p-q and x-y b-c and q-r and y-z c-a and r-p and z-x vmatrix =k vmatrix a and b and c p and q and r x and y and z vmatrix , then what is the value of k ?

NDA 2026 Solution View → 5

If A is a square matrix such that |A|=-2 , then |AA^ T | , where A^ T is the transpose of A , is equal to

NDA 2026 Solution View → 6

The system of equations 2x - 3y - 5 = 0 , 15y - 10x + 50 = 0

NDA 2025 Solution View → 7

The value of the determinant vmatrix a and b and c l and m and n p and q and r vmatrix is equal to

NDA 2025 Solution View → 8

If a , b , c are the sides of a triangle ABC and p is the perimeter of the triangle, then what is vmatrix p+c and a and b c and p+a and b c and a and p+b vmatrix equal to?

NDA 2025 Solution View → 9

Consider the following statements: Statement-I: If X is an n × n matrix, then (mX) = m^n (X) , where m is a scalar. Statement-II: If Y is a matrix obtained from X by multiplying

NDA 2025 Solution View → 10

If Δ = vmatrix a and b and c d and e and f g and h and i vmatrix and A , B , C , D , G are the cofactors of the elements a , b , c , d , g respectively, then what is bB + cC - dD

NDA 2025 Solution View → 11

If A^2 + B^2 + C^2 = 0 , then what is the value of vmatrix 1 and C and B C and 1 and A B and A and 1 vmatrix ?

NDA 2025 Solution View → 12

Consider the following statements in respect of the determinant Δ = vmatrix k(k+2) and 2k+1 and 1 2k+1 and k+2 and 1 3 and 3 and 1 vmatrix : I. Δ is positive if k > 0 . II. Δ is

NDA 2025 Solution View → 13

If vmatrix 2 & 3+i & -1 3-i & 0 & i-1 -1 & -1-i & 1 vmatrix = A + iB where i = -1 , then what is A + B equal to?

NDA 2025 Solution View → 14

Consider the following in respect of a non-singular matrix M : I. |M^2| = |M|^2 II. |M| = |M^ -1 | III. |M| = |M^T| How many of the above are correct?

NDA 2025 Solution View → 15

In obtaining the solution of the system of equations x + y + z = 7 , x + 2y + 3z = 16 and x + 3y + 4z = 22 by Cramer's rule, the value of y is obtained by dividing D by D_2

NDA 2025 Solution View → 16

If Z=(1)/(3)| array ccc i & 2 i & 1 2 i & 3 i & 2 3 & 1 & 3 array |=x+i y ; i= -1 then what is modulus of Z equal to?

NDA 2024 Solution View → 17

For what value of n is determinant | array ccc C (9,4) & C (9,3) & C (10, n-2) C (11,6) & C (11,5) & C (12, n) C (m, 7) & C (m, 6) & C (m+1, n+1) array |=0 for every m n ?

NDA 2024 Solution View → 18

If D_n=| array lll n & 20 & 30 n^2 & 40 & 50 n^3 & 60 & 70 array | then what is the value of ∑_ n=1 ^4 D_n ?

NDA 2024 Solution View → 19

Let A be a skew-symmetric matrix of order 3. What is the value of (4 A^4)- (3 A^3)+ (2 A^2)- (A)+ (-I) Where I is the identity matrix of order 3 ?

NDA 2023 Solution View → 20

If all elements of a third order determinant are equal to 1 or –1, then the value of the determinant is:

NDA 2023 Solution View → 21

The value of the determinant of a matrix A of order 3 is 3. If C is the matrix of cofactors of the matrix A , then what is the value of determinant of C^2 ?

NDA 2023 Solution View → 22

The system of linear equations x+2 y+z=4,2 x+4 y+2 z=8 and 3 x+6 y+3 z=10 has

NDA 2023 Solution View → 23

Let A X=B be a system of 3 liner equations with 3 -unknowns. Let X_1 and X_2 be its two distinct solutions. If the combination a X_1+b X_2 is a solution of A X=B ; where a, b

NDA 2023 Solution View → 24

What is the sum of the roots of the equation

NDA 2023 Solution View → 25

[QUESTION] Paragraph: If Δ(7,4,2, α)=0 , then α is a root of which one of the following equation?

NDA 2023 Solution View → 26

Paragraph: What is f(0) equal to?

NDA 2023 Solution View → 27

Paragraph: What is _ x arrow 0 (f(x))/(x) equal to?

NDA 2023 Solution View → 28

Paragraph: What is _ x arrow 0 (f(x))/(x^2) equal to?

NDA 2023 Solution View → 29

If a, b, c are in AP , then what is | array lll x+1 & x+2 & x+3 x+2 & x+3 & x+4 x+a & x+b & x+3 array | equal to?

NDA 2023 Solution View → 30

Paragraph: If Δ(a, b, c, α)=0 for every α > 0 , then which one of the following is correct?

NDA 2023 Solution View → 31

If | array ccc x^2-3 x & x-1 & x+3 x+1 & -2 x & x-4 x-3 & x+4 & 3 x array |=a x^4+b x^3+c x^2+d x+e , then what is the value of e ?

NDA 2023 Solution View → 32

If A_k=[ array cc k-1 & k k-2 & k+1 array ] , then what is (A_1)+ (A_2)+ (A_3)+…+ (A_ 100 ) equal to?

NDA 2023 Solution View → 33

Consider the determinant Δ=| array lll a_ 11 & a_ 12 & a_ 13 a_ 21 & a_ 22 & a_ 23 a_ 31 & a_ 32 & a_ 33 array | If a_ 13 =y z, a_ 23 =z x, a_ 33 =x y and the minors of a_ 13 , a_

NDA 2022 Solution View → 34

Paragraph: Let Δ be the determinant of a matrix A , where A=( array lll a_ 11 & a_ 12 & a_ 13 a_ 21 & a_ 22 & a_ 23 a_ 31 & a_ 32 & a_ 33 array ) and C_ 11 , C_ 12 , C_ 13 be the

NDA 2022 Solution View → 35

Paragraph: Let Δ be the determinant of a matrix A , where A=( array lll a_ 11 & a_ 12 & a_ 13 a_ 21 & a_ 22 & a_ 23 a_ 31 & a_ 32 & a_ 33 array ) and C_ 11 , C_ 12 , C_ 13 be the

NDA 2022 Solution View → 36

Paragraph: Let Δ be the determinant of a matrix A , where A=( array lll a_ 11 & a_ 12 & a_ 13 a_ 21 & a_ 22 & a_ 23 a_ 31 & a_ 32 & a_ 33 array ) and C_ 11 , C_ 12 , C_ 13 be the

NDA 2022 Solution View → 37

Paragraph: Let A=( array ccc 0 & ^2 θ & ^2 θ ^2 θ & 0 & ^2 θ ^2 θ & ^2 θ & 0 array ) and A=P+Q where P is symmetric matrix and Q is skew-symmetric matrix. Question: What is the

NDA 2022 Solution View → 38

If Δ_1=| array lll 1 & p & q 1 & q & r 1 & r & p array | and Δ_2=| array lll 1 & 1 & 1 q & r & p r & p & q array | where p ≠ q ≠ r , then Δ_1+Δ_2 is

NDA 2022 Solution View → 39

If (a-b)(b-c)(c-a)=2 and a b c=6 , then what is the value of | array ccc a & b & c a^2 & b^2 & c^2 a^3 & b^3 & c^3 array | ?

NDA 2022 Solution View → 40

Under which of the following conditions does the determinant | array lll a & b & c b & c & a c & a & b array | vanish? 1. a+b+c=0 2. a^3+b^3+c^3=3 a b c 3. a^2+b^2+c^2-a b-b c-c

NDA 2022 Solution View → 41

For what value of k is the matrix [ array ccc 2 2 θ & 2 2 θ & 6 1-2 ^2 θ & 2 ^2 θ-1 & 3 k & 2 k & 1 array ] singular?

NDA 2022 Solution View → 42

What is the value of the following determinant? | array ccc C & A & 0 B & 0 & - A 0 & B & C array |

NDA 2021 Solution View → 43

If Δ=| array lll a & b & c d & e & f g & h & i array | then what is | array ccc 3 d+5 g & 4 a+7 g & 6 g 3 e+5 h & 4 b+7 h & 6 h 3 f+5 i & 4 c+7 i & 6 i array | equal to?

NDA 2021 Solution View → 44

If Δ is the value of the determinant | array lll a_1 & b_1 & c_1 a_2 & b_2 & c_2 a_3 & b_3 & c_3 array | then what is the value of the following determinant? | array lll p a_1 &

NDA 2021 Solution View → 45

If | array ccc a & -b & a-b-c -a & b & -a+b-c -a & -b & -a-b+c array |-k a b c=0 (a ≠ 0, b ≠ 0, c ≠ 0) then what is the value of k ?

NDA 2021 Solution View → 46

Let A=| array lr p & q r & s array | where p, q, r and s are any four different prime numbers less than 20. What is the maximum value of the determinant?

NDA 2021 Solution View → 47

If the determinant | array lll x & 1 & 3 0 & 0 & 1 1 & x & 4 array |=0 then what is x equal to?

NDA 2021 Solution View → 48

If f(x)=| array ccc 1 & x & x+1 2 x & x(x-1) & x(x+1) 3 x(x-1) & 2(x-1)(x-2) & x(x+1)(x-1) array | then what is f(-1)+f(0)+f(1) equal to?

NDA 2021 Solution View → 49

The element in the i^ th row and the j^ th column of a determinant of third order is equal to 2(i+j) . What is the value of the determinant?

NDA 2021 Solution View → 50

With the numbers 2,4,6,8 , all the possible determinants with these four different elements are constructed. What is the sum of the values of all such determinants?

NDA 2021 Solution View → 51

If a+b+c=4 and a b+b c+c a=0 , then what is the value of the following determinant? | array lll a & b & c b & c & a c & a & b array |

NDA 2021 Solution View → 52

If x=(a)/(b-c), y=(b)/(c-a), z=(c)/(a-b) then what is the value of the following? | array ccc 1 & -x & x 1 & 1 & -y 1 & z & 1 array |

NDA 2021 Solution View → 53

For what values of k is the system of equations 2 k^2 x+3 y-1=0,7 x-2 y+3=0,6 k x+y+1=0 consistent?

NDA 2021 Solution View → 54

If a_1, a_2, a_3, …, a_9 are in GP, then what is the value of the following determinant? | array lll a_1 & a_2 & a_3 a_4 & a_5 & a_6 a_7 & a_8 & a_9 array |

NDA 2021 Solution View → 55

Let p, q and r be three distinct positive real numbers. If D=| array lll p & q & r q & r & p r & p & q array | , then which one of the following is correct?

NDA 2020 Solution View → 56

What is the value of the determinant | array ccc i & i^2 & i^3 i^4 & i^6 & i^8 i^9 & i^ 12 & i^ 15 array | where i= -1 ?

NDA 2020 Solution View → 57

For how many values of k , is the matrix [ array ccc 0 & k & 4 -k & 0 & -5 -k & k & -1 array ] singular?

NDA 2020 Solution View → 58

What are the values of x that satisfy the equation | array lll x & 0 & 2 2 x & 2 & 1 1 & 1 & 1 array |+| array lll 3 x & 0 & 2 x^2 & 2 & 1 0 & 1 & 1 array |=0 ?

NDA 2019 Solution View → 59

If x+a+b+c=0 , then what is the value of | array ccc x+a & b & c a & x+b & c a & b & x+c array | ?

NDA 2019 Solution View → 60

If [ array ccc x & -3 i & 1 y & 1 & i 0 & 2 i & -i array ]=6+11 i , then what are the values of x and y respectively?

NDA 2019 Solution View → 61

A is a square matrix of order 3 such that its determinant is 4. What is the determinant of its transpose?

NDA 2019 Solution View → 62

If A is a square matrix of order n > 1 , then which one of the following is correct?

NDA 2019 Solution View → 63

What is the value of the determinant | array lll 1! & 2! & 3! 2! & 3! & 4! 3! & 4! & 5! array | ?

NDA 2019 Solution View → 64

Paragraph: Let A and B be (3 × 3) matrices with A=4 and B=3 . Question: What is (2 AB) equal to ?

NDA 2019 Solution View → 65

Which one of the following factors does the expansions of the determinant ( array ccc x & y & 3 x^2 & 5 y^3 & 9 x^3 & 10 y^3 & 27 array ) contain?

NDA 2018 Solution View → 66

If a+b+c=0 , then one of the solution of | array ccc a-x & c & b c & b-x & a b & a & c-x array |=0 is

NDA 2018 Solution View → 67

The system of equation aligned & 2 x+y-3 z=5 & 3 x-2 y+2 z=5 and & 5 x-3 y-z=16 aligned

NDA 2018 Solution View → 68

What is the determinant of the matrix ( array ccc x & y & y+z z & z & z+x y & z & x+y array ) ?

NDA 2018 Solution View → 69

A train covers the first 5 km of its journey at a speed of 30 km / hr and the next 15 km at a speed of 45 km / hr . What is the average speed of the train?

NDA 2018 Solution View → 70

If A, B and C are the angles of a triangle and | array ccc 1 & 1 & 1 1+ A & 1+ B & 1+ C ~A+ ^2 ~A & ~B+ ^2 ~B & C+ ^2 C array |=0 then which one of the following is correct?

NDA 2018 Solution View → 71

The value of the determinant | array cc ^2(θ)/(2) & ^2(θ)/(2) ^2 (θ)/(2) & ^2 (θ)/(2) array | for all values of θ , is

NDA 2017 Solution View → 72

The value of the determinant | array ccc 1-α & α-α^2 & α^2 1-β & β-β^2 & β^2 1-γ & γ-γ^2 & γ^2 array | is equal to

NDA 2017 Solution View → 73

If p+q+r=a+b+c=0 , then the determinant | array lll p a & q b & r c q c & ra & p b r b & p c & q a array | equals

NDA 2017 Solution View → 74

What is the value of the determinant? | array ccc 1 & 1 & 1 1 & 1+xyz & 1 1 & 1 & 1+xyz array | ?

NDA 2017 Solution View → 75

If a ≠ b ≠ c , then one value of x which satisfies the equation | array ccc 0 & x-a & x-b x+a & 0 & x-c x+b & x+c & 0 array |=0 is given by

NDA 2017 Solution View → 76

If | array ccc x & y & 0 0 & x & y y & 0 & x array |=0 , then which one of the following is correct?

NDA 2017 Solution View → 77

The system of equations k x+y+z=1, x+k y+z=k and x+y+k z=k^2 has no solution if k equals

NDA 2017 Solution View → 78

The equations aligned & x+2 y+3 z=1 & 2 x+y+3 z=2 & 5 x+5 y+9 z=4 aligned

NDA 2017 Solution View → 79

Paragraph: Let a x^3+b x^2+c x+d=| array lcc x+1 & 2 x & 3 x 2 x+3 & x+1 & x 2-x & 3 x+4 & 5 x-1 array | then Question: What is the value of c ?

NDA 2016 Solution View → 80

Paragraph: Let a x^3+b x^2+c x+d=| array lcc x+1 & 2 x & 3 x 2 x+3 & x+1 & x 2-x & 3 x+4 & 5 x-1 array | then Question: What is the value of a+b+c+d ?

NDA 2016 Solution View → 81

Paragraph: For the system of linear equations 2 x+3 y+5 z=9,7 x+3 y-2 z=8 and 2 x+3 y+λ z=μ Question: Under what condition does the above system of equations have unique solutions?

NDA 2016 Solution View → 82

Paragraph: For the system of linear equations 2 x+3 y+5 z=9,7 x+3 y-2 z=8 and 2 x+3 y+λ z=μ Question: Under what condition does the above system of equations have infinitely many

NDA 2016 Solution View → 83

Consider the function f(x)=| array ccc x^3 & x & x 6 & -1 & 0 p & p^2 & p^3 array | , where p is a constant. What is the value of ^ (0) ?

NDA 2016 Solution View → 84

Consider the function f(x)=| array ccc x^3 & x & x 6 & -1 & 0 p & p^2 & p^3 array | , where p is a constant. What is the value of p for which f^ (0)=0 ?

NDA 2016 Solution View → 85

Which of the following determinants have value 'zero'? 1. | array lll 41 & 1 & 5 79 & 7 & 9 29 & 5 & 3 array | 2. | array lll 1 & a & b+c 1 & ~b & c+a 1 & c & a+b array | 3. |

NDA 2016 Solution View → 86

The system of linear equations kx+y+z=1, x+ky+z=1 and x+y+k z=1 has a unique solution under which one of the following conditions?

NDA 2016 Solution View → 87

Which of the following are correct in respect of the system of equations x+y+z=8, x-y+2 z=6 and 3 x-y+5 z=k ? 1. They have no solution. if k=15 . 2. They have infinitely many

NDA 2016 Solution View → 88

The matrix A=[ array ccc 1 & 3 & 2 1 & x-1 & 1 2 & 7 & x-3 array ] will have inverse for every real number x except for

NDA 2015 Solution View → 89

If the value of the determinant | array lll a & 1 & 1 1 & ~b & 1 1 & 1 & c array | is positive, where a ≠ b ≠ c , then the value of a b c

NDA 2015 Solution View → 90

Consider the following statements in respect of the determinant | array cc ^2 (α)/(2) & ^2 (α)/(2) ^2 (β)/(2) & ^2 (β)/(2) array | where α, β are complementary angles 1. The value

NDA 2015 Solution View → 91

If a, b, c are real numbers, then the value of the determinant | array lll 1-a & a-b-c & b+c 1-b & b-c-a & c+a 1-c & c-a-b & a+b array |

NDA 2015 Solution View → 92

The value of | array ccc 1 & 1 & 1 1 & 1+x & 1 1 & 1 & 1+y array | is

NDA 2015 Solution View → 93

If A and B are square matrices of second order such that |A|=-1,| B|=3 , then what is |3 AB| equal to?

NDA 2014 Solution View → 94

If a ≠ b ≠ c are all positive, then the value of the determinant | array lll a & b & c b & c & a c & a & b array | is

NDA 2014 Solution View → 95

If | array ccc 6 i & -3 i & 1 4 & 3 i & -1 20 & 3 & i array |=x+i y , where i= -1 , then what is x equal to?

NDA 2014 Solution View → 96

Consider the following statements: 1. Determinant is a square matrix. 2. Determinant is a number associated with a square matrix. Which of the above statements is/are correct?

NDA 2014 Solution View → 97

If | array lll a & b & 0 0 & a & b b & 0 & a array |=0 , then which one of the following is correct?

NDA 2014 Solution View → 98

One of the roots of | array ccc x+a & b & c a & x+b & c a & b & x+c array |=0 is

NDA 2014 Solution View → 99

The determinant of an odd order skew symmetric matrix is always:

NDA 2014 Solution View → 100

If any two adjacent rows or columns of a determinant are interchanged in position, the value of the determinant:

NDA 2014 Solution View → 101

What is the value of the determinant | array lll 1 & b c & a(b+c) 1 & c a & b(c+a) 1 & a b & c(a+b) array | ?

NDA 2013 Solution View → 102

If 8 x-9 y=20 and 7 x-10 y=9 , then what is 2 x-y equal to?

NDA 2013 Solution View → 103

Consider the following statements: 1. The matrix ( array ccc 1 & 2 & 1 a & 2 a & 1 b & 2 b & 1 array ) is singular. 2. The matrix ( array ccc c & 2 c & 1 a & 2 a & 1 b & 2 b & 1

NDA 2013 Solution View → 104

For what value of k , the equations 3 x-y=8 and 9 x-k y=24 will have infinitely many solutions?

NDA 2013 Solution View → 105

What is the value of the minor of the element 9 in the determinant | array ccc 10 & 19 & 2 0 & 13 & 1 9 & 24 & 2 array | ?

NDA 2013 Solution View → 106

The value of the determinant | array ccc m & n & p p & m & n n & p & m array |

NDA 2013 Solution View → 107

If D is a determinant of order 3 and D^ is the determinant obtained by replacing the elements of D by their cofactors, then which one of the following is correct?

NDA 2013 Solution View → 108

The cofactor of the element 4 in the determinant | array lll 1 & 2 & 3 4 & 5 & 6 5 & 8 & 9 array | is

NDA 2013 Solution View → 109

The roots of the equation | array ccc 1 & t-1 & 1 t-1 & 1 & 1 1 & 1 & t-1 array |=0 are

NDA 2013 Solution View → 110

If each element in a row of a determinant is multiplied by the same factor r , then the value of the determinant?

NDA 2012 Solution View → 111

The value of the determinant | array lll x^2 & 1 & y^2+z^2 y^2 & 1 & z^2+x^2 z^2 & 1 & x^2+y^2 array | is :

NDA 2012 Solution View → 112

The solution of the simultaneous linear equations 2 x+y=6 and 3 y=8+4 x will also be satisfied by which one of the following linear equations?

NDA 2012 Solution View → 113

What is | array ccc -a^2 & a b & a c a b & -b^2 & b c a c & b c & -c^2 array | equal to?

NDA 2012 Solution View → 114

If | array ccc 8 & -5 & 1 5 & x & 1 6 & 3 & 1 array |=2 , then what is the value of x ?

NDA 2012 Solution View → 115

If two rows of a determinant are identical, then what is the value of the determinant?

NDA 2012 Solution View → 116

If the matrix [ array ccc α & 2 & 2 -3 & 0 & 4 1 & -1 & 1 array ] is not invertible, then :

NDA 2012 Solution View → 117

The simultaneous equations 3 x+5 y=7 and 6 x+10 y=18 have

NDA 2011 Solution View → 118

The roots of the equation | array lll x & α & 1 β & x & 1 β & γ & 1 array |=0 are independent of

NDA 2011 Solution View → 119

What is the value of the determinant | array lll a-b & b+c & a b-c & c+a & b c-a & a+b & c array | ?

NDA 2011 Solution View → 120

| array ccc p & -q & 0 0 & p & q q & 0 & p array |=0 , then which one of the following is correct?

NDA 2011 Solution View → 121

If a^ -1 +b^ -1 +c^ -1 =0 such that | array ccc 1+a & 1 & 1 1 & 1+b & 1 1 & 1 & 1+c array |=λ , then what is λ equal to?

NDA 2011 Solution View → 122

What is the value of the determinant | array ccc x+1 & x+2 & x+4 x+3 & x+5 & x+8 x+7 & x+10 & x+14 array | ?

NDA 2011 Solution View → 123

If 5 and 7 are the roots of the equation | array ccc x & 4 & 5 7 & x & 7 5 & 8 & x array |=0 then what is the third root?

NDA 2011 Solution View → 124

. If the matrix A=( array ccc 2-x & 1 & 1 1 & 3-x & 0 -1 & -3 & -x array ) is singular, then what is the solution set S ?

NDA 2011 Solution View → 125

What is the value of k for which the system of equations k x+2 y=5 and 3 x+y=1 has no solution?

NDA 2011 Solution View → 126

x+i y=| array ccc 6 i & -3 i & 1 4 & 3 i & -1 20 & 3 & i array | then what is x - iy equal to?

NDA 2010 Solution View → 127

If | array ccc a & b & c l & m & n p & q & r array |=2 , then what is the value of the determinant | array ccc 6 a & 3 b & 15 c 2 l & m & 5 n 2 p & q & 5 r array | ?

NDA 2010 Solution View → 128

What is the value of | array cc 15^ ^ ∘ & 15^ ^ ∘ 45^ ^ ∘ & 45^ ^ ∘ array | ×| array cc 45^ ^ ∘ & 15^ ^ ∘ 45^ ^ ∘ & 15^ ^ ∘ array | ?

NDA 2010 Solution View → 129

Let A be an n × n matrix. If (λ A)=λ^s ( A) , what is the value of s ?

NDA 2010 Solution View → 130

If the system of equations 2 x+3 y=7 and 2 a x+(a+b) y=28 has infinitely many solutions, then which one of the following is correct?

NDA 2010 Solution View →
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Related NDA Mathematics chapters

Trigonometric Ratios & Identities (295)Statistics (236)Probability (201)Sequences and Series (182)Three Dimensional Geometry (176)Quadratic Equation (157)Matrices (153)Functions (129)Permutation and Combination (129)Differential Equations (127)Definite Integration (110)Differentiation (104)

Determinants in other exams

JEE Determinants (508)BITSAT Determinants (20)