If A= [ array cc k+1 & 2 4 & k-1 array ] is a singular matrix, then possible values of k are

Step-by-step solution

A matrix A is singular if its determinant is zero, i.e., |A| = 0 . Given A = bmatrix k+1 & 2 4 & k-1 bmatrix , the determinant is calculated as: |A| = (k+1)(k-1) - (2)(4) |A| = (k^2 - 1) - 8 |A| = k^2 - 9 Setting the determinant to zero for a singular matrix: k^2 - 9 = 0 k^2 = 9 k = 3 Answer: 3