$\"\"$

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The matrix is $\"\"$ .

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Rewrite matrix is A = $\"\"$ .

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First find the determinant of A = ad $\"\"$ bc.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Therefore A^-1 exists.

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$\"\"$

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The inverse of A is $\"\"$ .

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Substitute $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ and ad $\"\"$ bc = $\"\"$ .

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$\"\"$

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$\"\"$ $\"\"$

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CHECK:-

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Find the product of the matrices.if the product is I, then they are inverses.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The solution is true.

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$\"\"$ The inverse matrix is $\"\"$ .