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Consider the following relation R on the...

Consider the following relation R on the set of realsquare matrices of order 3. `R = {(A, B)| A = P^-1 BP` for some invertible matrix P} Statement `I` R is an equivalence relation. Statement `II` For any two invertible `3xx3` matrices `M and N`, `(MN)^-1 = N^-1 M^-1`

A

Statement -1 is true, Statement -2 is true and Statement -2 is correct explanation for Statement -1

B

Statement -1 is true, Statement -2 is true and Statement -2 is not correct explanation for Statement -1

C

Statement -1 is true, Statement -2 is false

D

Statement -1 is false Statement -2 is true

Text Solution

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The correct Answer is:
B

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