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If the square matrix |(alpha,Beta),(Beta...

If the square matrix `|(alpha,Beta),(Beta,-alpha)|`is a unit matrix of order 2 then `alpha `and `Beta` should satisfy:

A

`1+alpha^(2)-Beta^(2)=0`

B

`1-alpha^(2)+alpha Beta=0`

C

`1+alpha^(2)+Beta^(2)=0`

D

`1+alpha Beta=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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PREMIERS PUBLISHERS-MATRICES AND DETERMINANTS-PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)
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