Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202420 May 2024Morning ShiftMathematicsDeterminantsActual

If A= [ array lll 1 & 0 & 2 2 & 1 & 3 3 & 2 & 4 array ] , then A^2-5 A+6 I=

Options

  1. A[ array ccc 8 & 4 & 0 3 & 8 & 4 4 & 0 & 12 array ]
  2. B[ array ccc 8 & 4 & 0 3 & 6 & 4 4 & 0 & 14 array ]
  3. C[ array ccc 8 & 6 & 0 3 & 8 & 4 2 & 0 & 14 array ]
  4. D[ array ccc 8 & 4 & 0 3 & 8 & 4 4 & 0 & 14 array ]

Correct answer

D. [ array ccc 8 & 4 & 0 3 & 8 & 4 4 & 0 & 14 array ]

Step-by-step solution

A= [ array lll 1 & 0 & 2 2 & 1 & 3 3 & 2 & 4 array ] A^2= [ array ccc 7 & 4 & 10 13 & 7 & 19 19 & 10 & 28 array ] aligned A^2-5 A+6 I= & [ array ccc 7 & 4 & 10 13 & 7 & 19 19 & 10 & 28 array ]- [ array ccc 5 & 0 & 10 10 & 5 & 15 15 & 10 & 20 array ] & + [ array ccc 6 & 0 & 0 0 & 6 & 0 0 & 0 & 6 array ]= [ array ccc 8 & 4 & 0 3 & 8 & 4 4 & 0 & 14 array ] 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 AP EAMCET PYQs