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A is a 2xx2 matrix such that A[[1],[-1]]...

`A` is a `2xx2` matrix such that `A[[1],[-1]]=[[-1],[ 2]] and A^2[[1],[-1]]=[[1],[ 0]]dot` The sum of the elements of `A` is a.`-1` b. 0 c. 2 d. 5

A

`0`

B

`2`

C

`5`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
C
Let `M=[[a,b],[c,d]]`
Now, `M [[1],[-1]] = [[-1],[2]] & M^(2) [[1],[-1]]=[[1],[0]]`
`impliesa=-1,b=0, c=4,d=2`
`therefore (a+b+c+d) = 5`
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