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Find the inverse (if it exists) of the following:

`[(-2, 4),(1, -3)]`

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#### Solution

`[(-2, 4),(1, -3)]`

|A| = 6 – 4

= 2 ≠ 0

∴ A^{-1} exists. A is non singular.

adj A = `[(-3, -4),(1, -2)]`

A^{-1} = `1/|"A"|`

adj A = `1/2[(-3, -4),(1, -2)]`

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