Question

Does [4/7 8/14] have an inverse? Why or why not?

Answer 1

The matrix is given below as

`\begin{bmatrix}{4} & {8} \\ {7} & {14}\end{bmatrix}`

Calculate the determinant of the matrix below

The determinant of the matrix is

`\begin{gathered} (14*4)-(8*7) \\ =56-56 \\ =0 \end{gathered}`

The inverse of a matrix is calculated using the formula below

`\begin{gathered} A^(-1)=(adjA)/(|A|) \\ |A|=0 \end{gathered}`

Hence,

The final answer is

NO,THE DETERMINANT IS ZERO

OPTION D is the right answer