Question

Find the inverse of the matrix , if it exists

Answer 1

Answer:

So, option A is correct.

Step-by-step explanation:

To find the inverse of the matrix, the formula is:

$A^{-1} = 1/|A| * Adj A$

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

$Adj A$ = $\left[\begin{array}{cc}9&2\\10&7\end{array}\right]$

$\left[\begin{array}{cc}9/43&2/43\\10/43&7/43\end{array}\right]$

So, option A is correct.