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BITSAT Matrices PYQs with Solutions

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

19 questionsMathematics2009–2024Answers + solutions

About Matrices PYQs

Matrices has 19 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 19 questions in this list come from BITSAT (19), spanning 2009 to 2024. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

2024: 5
2023: 2
2022: 2
2019: 1
2018: 1
2015: 1
2014: 2
2012: 1
2011: 2
2010: 1
2009: 1

Matrices questions with solutions

If A=(1)/(3)[ array ccc 1 & 2 & 2 2 & 1 & -2 a & 2 & b array ] is an orthogonal matrix, then

BITSAT 2024 Solution View → 2

If matrix A=[ array ccc 3 & -2 & 4 1 & 2 & -1 0 & 1 & 1 array ] and A^ -1 =(1)/(k) adj(A) , then k is

BITSAT 2024 Solution View → 3

If A and B are symmetric matrices of same order such that A B+B A=X and A B-B A=Y , then (X Y)^ T =

BITSAT 2024 Solution View → 4

If A=[ array cc 1 & 0 0 & -1 array ], P=[ array ll 1 & 1 0 & 1 array ] and X=A P A^T , then A^T X^ 50 A=

BITSAT 2024 Solution View → 5

If A is a square matrix of order 3 , then Adj(Adj.A^2) =

BITSAT 2024 Solution View → 6

If A= [ array ccc 0 & c & -b -c & 0 & a b & -a & 0 array ] and B= [ array ccc a² & a b & a c a b & b² & b c a c & b c & c² array ] , then A B is equal to

BITSAT 2023 Solution View → 7

If A=[ array cc 0 & 2 3 & -4 array ] and k A=[ array cc 0 & 3 a 2 b & 24 array ] , then the values of k, a and b respectively are:

BITSAT 2023 Solution View → 8

Let A=[ array ccc 1 & -1 & 1 2 & 1 & -3 1 & 1 & 1 array ] and 10 B=[ array ccc 4 & 2 & 2 -5 & 0 & α 1 & -2 & 3 array ] If B is the inverse of A , then the value of α is

BITSAT 2022 Solution View → 9

If [ array cc 1 & - θ θ & 1 array ][ array cc 1 & θ - θ & 1 array ]^ -1 =[ array cc a & -b b & a array ], then

BITSAT 2022 Solution View → 10

If A is an 3 × 3 non- singular matrix, such that AA^ ' = A^ ' A and B = A^ - 1 A^ ' , then BB^ ' equals to

BITSAT 2019 Solution View → 11

If P = [ cases a & b & c b & c & a c & a & b cases ] , abc = 1 , P^ T P = I then the value of a^ 3 + b^ 3 + c^ 3 is

BITSAT 2018 Solution View → 12

Let M bea 3 × 3 n × n -singular matrix with det(M)=α . If [M^ -1 . adj ( adj ( M )]= KI , then the value of K is

BITSAT 2015 Solution View → 13

If [ array cc α & β γ & -α array ] is square root of identity matrix of order 2 then -

BITSAT 2014 Solution View → 14

If A=[ array ll 1 & 1 1 & 1 array ] then ^ 100 :

BITSAT 2014 Solution View → 15

Let A=[ array ll 0 & α 0 & 0 array ] and (A+I)^ 50 -50 A=[ array ll a & b c & d array ] , find a b c+a b d+b c d+a c d

BITSAT 2012 Solution View → 16

The matrix \(A²+4 A-5 I\), where \(I\) is identity matrix and \(A= [ array cc 1 & 2 4 & -3 array ]\), equals :

BITSAT 2011 Solution View → 17

If \(A= [ array lll 2 & 0 & 0 2 & 2 & 0 2 & 2 & 2 array ]\), then \(adj(adj A)\) is equal to -

BITSAT 2011 Solution View → 18

The value of \( ^ -1 x+ ^ -1 ((x)/(2)+(1)/(2) 3-3 x^2 )\); \((1)/(2) ≤ x ≤ 1\) is

BITSAT 2010 Solution View → 19

Find the value of \(2 ^ -1 (1)/(5)+ ^ -1 (1)/(2)+ 2 ^ -1 (1)/(8) \)

BITSAT 2009 Solution View →

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Related BITSAT Mathematics chapters

Application of Derivatives (67)Sequences and Series (51)Probability (44)Three Dimensional Geometry (40)Functions (39)Binomial Theorem (34)Permutation and Combination (31)Complex Number (30)Circle (27)Differential Equations (27)Straight Lines (27)Vector Algebra (25)

Matrices in other exams

JEE Matrices (506)NDA Matrices (153)