Find the inverse of the matrix , if it exists
1 answer:
Answer:
So, option A is correct.
Step-by-step explanation:
To find the inverse of the matrix, the formula is:

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
= ![\left[\begin{array}{cc}9&2\\10&7\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D9%262%5C%5C10%267%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{cc}9/43&2/43\\10/43&7/43\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D9%2F43%262%2F43%5C%5C10%2F43%267%2F43%5Cend%7Barray%7D%5Cright%5D)
So, option A is correct.
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