$\"\"$

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The matrix is $\"\"$ .

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Find the determinant.

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$\"\"$ .

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Since the determinant does not equal to zero, inverse of the matrix exists.

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Find the inverse matrix.

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Inverse of a $\"\"$ matrix: $\"\"$ .

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Here $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Check:

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If $\"\"$ and $\"\"$ are inverses, then $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ and $\"\"$ are inverses.

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$\"\"$

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$\"\"$ .