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If A is 3 xx 3 invertible matrix, then s...

If A is `3 xx 3` invertible matrix, then show that for any scalar k (non-zero),kA is invertible and `(kA)^-1=1/kA^-1I`

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The correct Answer is:
`(kA)^(-1)=(1)/(k)A^(-1)`
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