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If A={:[(0,x),(1,0)]:}, such that A^(2)=...

If `A={:[(0,x),(1,0)]:}`, such that `A^(2)=4I`, then x is

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
(i) Find `A^(2)`, then equating the corresponding elements in 4I Matrix.
(ii) Evaluate `AxxA`.
(iii) Equate the above product to `4I,i.e., {:((4,0),(0,4)):}` and find x.
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