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Find the adjoint of the following matr...

Find the adjoint of the following matrices: `[[−3,​5],[2,4​]]` (ii) `[[a, b], [c, d]]` Verify that `(a d j\ A)A=|A|I=A(a d j\ A)` for the above matrices.

Text Solution

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We know,`Adj A=[[+4,​−5],[-2,−3​]]=[[4,​−5],[-2,−3​]]`
`A=[[−3,​5],[2,4​]]`
`=>det A=−12−10=−22 `
`(Adj.A)A=[[4,​−5],[-2,−3​]] [[−3,​5],[2,4​]]`=`[[−22,0​],[0,−22]​]`
=`−22[[1,0],[​0,1​]]`
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