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Two nxxn square matrices A and B are sai...

Two `nxxn` square matrices A and B are said to be similar if there exists a non - singular matrix C such that `C^(-1)` AC = B .
If A and B are similar matrices such that det(AB) = 0 then-

A

det(A)=0 and det(B) = 0'

B

det(A) = 0 or det (B) = 0

C

A = 0 and B = 0

D

A = 0 or B = 0 [0 =null matrix]

Text Solution

Verified by Experts

The correct Answer is:
A
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