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The value of the determinant |{:(1+ ...

The value of the determinant
`|{:(1+ a^(2) - b^(2),2 ab , - 2b),(2ab, 1 - a^(2) + b^(2), 2a),(2b , -2a , 1-a^(2) - b^(2)):}|` is equal to

A

0

B

`(1+a^(2)+b^(2))`

C

`(1+a^(2)+b^(2))^(2)`

D

`(1+a^(2)+b^(2))^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
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