Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET2004MathematicsDeterminants

Match the following elements of [ array ccc 1 & -1 & 0 0 & 4 & 2 3 & -4 & 6 array ] with their co-factors and choose the correct answer. array lcll & Element & & Co-factor A. & -1 & (1) & -2 B. & 1 & (2) & 32 C. & 3 & (3) & 4 D. & 6 & (4) & 6 & & (5) & -6 array

Options

  1. Aarray llll A & B & C & D 2 & 4 & 1 & 3 array
  2. Barray llll A & B & C & D 2 & 4 & 3 & 1 array
  3. Carray llll A & B & C & D 4 & 2 & 1 & 3 array
  4. Darray llll A & B & C & D 4 & 1 & 2 & 3 array

Correct answer

C. array llll A & B & C & D 4 & 2 & 1 & 3 array

Step-by-step solution

Let A= [ array ccc 1 & -1 & 0 0 & 4 & 2 3 & -4 & 6 array ] Cofactor of (-1)=- | array ll 0 & 2 3 & 6 array |=6 Cofactor of (1)= | array cc 4 & 2 -4 & 6 array |=24+8=32 Cofactor of (3)= | array cc -1 & 0 4 & 2 array |=-2-0=-2 Cofactor of (6)= | array cc 1 & -1 0 & 4 array |=4-0=4 Option (3) is correct.

Practice Determinants on Quantrex Academy →

More from Determinants

Let A = [a_ ij ] be a square matrix of order 3 3 , where the elements are defined as a_ ij = cases i - 2j & if i = j 0 & if i > j 1 & if i < j cases then the value of |A^t| is 2026Let A be a square matrix of order 3 3 . If |A| = -4 , then the value of | A⁻¹ -2 | is: 2026Given P = bmatrix 2 & & 1 1 & 2 & 2 1 & 3 & 3 bmatrix is the adjoint of a 3 3 matrix A and |A| = 3 , then the value of is: 2026Which of the following is correct? 2026If A and B are invertible square matrices of order n, then which of the following is not correct? 2026The system of equations x + 2y = 3 and 2x + 3y = 3 has 2026A value of lying between 0 and 2 and satisfying | array ccc 1+ ^2 & ^2 & 4 4 ^2 & 1+ ^2 & 4 4 ^2 & ^2 & 1+4 4 array |=0 2025If the inverse of [ array ccc -x & 14 x & 7 x 0 & 1 & 0 x & -4 x & -2 x array ] is [ array ccc 2 & 0 & 7 0 & 1 & 0 1 & -2 & 1 array ] , then | array ccc x & x+1 & x+2 x+1 & x+2 & x 2025 Full Determinants list All AP EAMCET PYQs