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Let M be a 3xx3 matrix satisfying M^(3)=...

Let M be a `3xx3` matrix satisfying `M^(3)=0`. Then which of the following statement(s) are true: (a) `|M^(2)+M+I|ne0` (b) `|M^(2)-M+I|=0` (c) `|M^(2)+M+I|=0` (d) `|M^(2)-M+I|ne0`

A

`|(1)/(2)M^(2)+M+I|ne0`

B

`|(1)/(2)M^(2)-M+I|=0`

C

`|(1)/(2)M^(2)+M+I|=0`

D

`|(1)/(2)M^(2)-M+I|ne0`

Text Solution

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The correct Answer is:
A, D
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