If A = ((-2,3),(1,1)) then |A^{-1}} = ? ​

Question

If A = \( \begin{pmatrix} -2&3 \\ 1 &1 \end{pmatrix}\)then |A^-1} = ?

A. -5 

B. -1/5

C. 1/25

D. 25

Answer 1

A = \( \begin{pmatrix} -2&3 \\ 1 &1 \end{pmatrix}\)

│A│= -2-3 = -5 

We know that │A^-1│= 1/|A|

=1/- 5