For what value of x, the following matrix is singular? [(5-x,x+1)(2,4)]

Question

For what value of x, the following matrix is singular?

\(\begin{bmatrix} 5-x &x+1 \\[0.3em] 2 &4 \\[0.3em] \end{bmatrix}\)

Answer 1

Let \(\begin{bmatrix} 5-x &x+1 \\[0.3em] 2 &4 \\[0.3em] \end{bmatrix}\)= 0

For A to be singular, |A|=0