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Find the inverse of the matrix A = [{:(2...

Find the inverse of the matrix A = `[{:(2, -4), (3, -5):}]`.

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`|A| = |{:(2, -4),(3, -5):}| = -10 + 12 = 2 ne 0.`
`therefore` A is non-singular and `A^(-1)` exists.
`therefore A^(-1) = (1)/(ad-ac) [{:(d, -b), (-c, a):}] = (1)/(2) [{:(-5, 4),(-3, 2):}]`
`A^(-1) = [{:(-(5)/(2), (4)/(2)), (-(3)/(2), (2)/(2)):}] = [{:(-(5)/(2), 2),(-(3)/(2), 1):}]`
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PEARSON IIT JEE FOUNDATION-MATRICES-EXERCISE CONCEPT APPLICATION (LEVEL 3)
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