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Question

If A = [α011] , B = [1051] whenever A2=B
then values of α is

A
1
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B
1
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C
4
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D
no real value of α
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Solution

The correct option is D no real value of α
A2 = B[α011][α011]=[1051]
[α20α+11]=[1051]
α2 = 1, α + 1 = 5
α=±1,α=4
There is no real value of α which satisfies both.

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