Answer:
So, option A is correct.
Step-by-step explanation:
To find the inverse of the matrix, the formula is:
[tex]A^{-1} = 1/|A| * Adj A[/tex]
Inverse of the matrix exists if |A| does not equal to 0
|A| = 7 * 9 -( -2 * -10)
|A| = 63 - 20
|A| = 43
AS |A| ≠ 0
so inverse exist.
now finding Adj A
[tex]Adj A[/tex] = [tex]\left[\begin{array}{cc}9&2\\10&7\end{array}\right][/tex]
[tex]\left[\begin{array}{cc}9/43&2/43\\10/43&7/43\end{array}\right][/tex]
So, option A is correct.
