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Prove that A unit matrix is its own inverse. Is the converse true?If A= [[0,1,-1],[4,-3,4],[3,-3,4]]show thatA^2=I and hence A=A^(-1).

Answer»

Solution :No the converse is not TRUE for EXAMPLE:`A=`[[4,-1],[15,-4]]`
`A^(-1)=-[[-4,1],[-15,-4]]=[[4,-1],[15,-4]]=A`


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