Question

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A.A−1 = enter your response here (Simplify your answer.)

Answer 1

EXPLANATION

Since we have the determinant:

$A=\begin{bmatrix}{15} & {-5} \\ {-3} & {1}\end{bmatrix}$

Computing the inverse:

$A^{-1}=\frac{1}{15*1-(-5*-3)}*\begin{bmatrix}{1} & {5} \\ {3} & {15}\end{bmatrix}$

Multiplying terms:

$A^{-1}=\frac{1}{15-15}*\begin{bmatrix}{1} & {5} \\ {3} & {15}\end{bmatrix}=\frac{1}{0}\begin{bmatrix}{1} & {5} \\ {3} & {15}\end{bmatrix}$

In conclusion, the Inverse Matrix is not possible.