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Question

If A = [α011] and B=[1051], then value of α for which A2 = B, is

A
1
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B
-1
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C
4
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D
non real values
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Solution

The correct option is D non real values
Given, A=[α011], B=[1051]
A2=[α011][α011]=[α20α+11]
Also, given. A2 = B
[α20α+11]=[1051]
α2 =1 and α + 1 = 5
Which is not possible at the same time.
No real values of α exists.

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