Question

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

Answer 1

Solution:

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

$\begin{gathered} (14\times4)-(8\times7) \\ =56-56 \\ =0 \end{gathered}$

The inverse of a matrix is calculated using the formula below

$\begin{gathered} A^{-1}=\frac{adjA}{|A|} \\ |A|=0 \end{gathered}$

Hence,

The final answer is

NO,THE DETERMINANT IS ZERO

OPTION D is the right answer