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Find the inverse of each of the follo...

Find the inverse of each of the following matrices: `[costhetasintheta-sinthetacostheta]` (ii) `[0 1 1 0]` (iii) `[a b\ c(1+b c)/a]` (iv) `[2 5-3 1]`

Text Solution

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(1) `A =[[cos theta , sin theta ], [-sin theta , cos theta]]`
`A^{-1} =frac{1}{|A|} adj A`
`=|A|=1 cos ^{2} theta+sin ^{2} theta=1`
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