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Let A be a matrix of order 2xx2 such tha...

Let A be a matrix of order `2xx2` such that `A^(2)=O`.
tr (A) is equal to

A

`1`

B

`0`

C

`-1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
If `A=O`, tr `(A)=0`. Suppose `A ne O` and `A=[(a,b),(c,d)]`. Then
`|A|=0` and `A^(2)-(a+d)A+(ad-bc)I=O`
`implies a+d=0 =tr (A)`
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