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Svet_ta [14]
3 years ago
15

Find the inverse of the matrix , if it exists

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

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.

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