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If A^(-1)=[(sin^2alpha,0,0),(0,sin^2 bet...

If `A^(-1)=[(sin^2alpha,0,0),(0,sin^2 beta,0), (0,0,sin^2gamma)]` and `B^(-1)=[(cos^2alpha,0,0),(0,cos^2 beta,0), (0,0,cos^2gamma)]` where `alpha, beta, gamma` are any real numbers and `C=A^(-5)+B^(-5)+5A^(-1)B^(-1)(A^(-3) +B^(-3))+10 A^(-2)B^(-2)(A^(-1)+B^(-1))` then find |C|

A

0

B

1

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
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