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Let A=[(0,alpha),(0,0)] and (A+I)^(50)=5...

Let `A=[(0,alpha),(0,0)]` and `(A+I)^(50)=50 A=[(a,b),(c,d)]` Then the value of `a+b+c+d` is (A) `2` (B) `1` (C) `4` (D) none of these

A

2

B

1

C

4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
We have, `A^(2)=O, A^(k)=O, AA k ge 2`
Thus,
`(A+I)^(50)=I+50A`
`implies a=1, b=0, c=0, d=1`
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