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If A is an invertible matrix, then whi...

If `A` is an invertible matrix, then which of the following is not true `(A^2)^-1=(A^(-1))^2` (b) `|A^(-1)|=|A|^(-1)` (c) `(A^T)^(-1)=(A^(-1))^T` (d) `|A|!=0`

Text Solution

Verified by Experts

`A A^(−1)=I`
`|​A A^(−1)|​=1`
`|A||​A^(−1)|​=1`
`|​A^(−1)​|=|A∣^(−1)`
option (ii) is False.
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