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If A is a diagonal matrix of order 3xx3 ...

If `A` is a diagonal matrix of order `3xx3` is commutative with every square matrix or order `3xx3` under multiplication and `t r(A)=12 ,` then the value of `|A|^(1//2)` is ______.

A

A diagonal matrix with atleast two diagonal elements different

B

A scalar matrix

C

A unit matrix

D

A diagonal matrix with exactly two diagonal elements different

Text Solution

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The correct Answer is:
B
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