Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202120 Sep 2021Evening ShiftMathematicsDeterminantsActual

The co-factors of the elements of second column of [ array ccc 1 & -1 & 2 3 & 2 & 1 -1 & 3 & 4 array ] are

Options

  1. A-13,6,5
  2. B13,5,6
  3. C13,-6,-5
  4. D-13,-6,5

Correct answer

A. -13,6,5

Step-by-step solution

Required cofactors are as follows: aligned & A ₁₂=(-1)¹⁺² | array cc 3 & 1 -1 & 4 array |=-(12+1)=-13 & ~A ₂₂=(-1)²⁺² | array cc 1 & 2 -1 & 4 array |=(4+2)=6 & ~A ₃₂=(-1)³⁺² | array cc 1 & 2 3 & 1 array |=-(-1-6)=5 aligned

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 MHT CET PYQs