Determine the value of x for which the matrix A = [(x + 1,-3,4),(-5,x + 2,2),(4,1,x - 6)] is singular.

Question

Determine the value of x for which the matrix A = \( \begin{bmatrix} x + 1 & -3 & 4 \\[0.3em] -5 &x + 2 & 2\\[0.3em] 4 & 1& x - 6 \end{bmatrix}\) is singular.

Answer 1

Matrix A is singular, so |A| = 0