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If A is a nilpotent matrix of odd order ...

If A is a nilpotent matrix of odd order r, then which of the following is true?

A

`l=(l-A)(l^(r-2)A+l^(r-3)A^(2)+ . . . +A^(r-1))`

B

`l=(l+A)(l^(r-1)+l^(r-2)A+l^(r-3)A^(2)+ . . . .+A^(r-1))`

C

`l=(l+A)(l^(r-1)-l^(r-2)A+l^(r-3)A^(2)- . . . .+A^(r-1))`

D

`l=(l=A)(l^(r-1)-l^(r-2)A+l^(r-3)A^(2)- . . . +A^(r-1))`

Text Solution

Verified by Experts

The correct Answer is:
A, C
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