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If A is a square matrix of order 3 with ...

If A is a square matrix of order 3 with |AI= 2, then the value of `|(A-A^T)^5|+|(A-A^T)^3|` is

Text Solution

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`A`is skew symmetric matrix
`|A-A^T|=|A^T-A|=0`
`|(A-A^T)^5|+|(A-A^T)^3|`
`=|0^5|+|0^3|`
`=0`
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