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(aA)^(-1)=1/aA^(-1) where a is any real ...

`(aA)^(-1)=1/aA^(-1)` where `a` is any real number and `A` is a square matrix.

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Verified by Experts

The correct Answer is:
N/a
False
Since, we know that if `A` is a non singular square matrix, then for any scalar is (non-zero), `aA` is invertible such that
`(aA)(1/aA^(-1))=(a . 1/a)(A.A^(-1))`
i.e. `(aA)` is inverse of `(1/aA^(-1))` or `(aA)^(-1)=1/aA^(-1)` where a is non -zero scalar.
In the above statement `a` is any real number. So, we can conclude that above statement is false.
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