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Question

If A=⎡⎢⎣0c−b−c0ab−a0⎤⎥⎦ and B=⎡⎢⎣a2abacabb2bcacbcc2⎤⎥⎦, then AB=

A
A3
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B
B2
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C
I
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D
O
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Solution

The correct option is A O
Given : A=0cbc0aba0 B=a2abacabb2bcacbcc2

Then, AB=0cbc0aba0a2abacabb2bcacbcc2
=abcabcb2cb2cbc2bc2a2c+a2cabc+abcac2+ac2a2ba2bab2ab2abcabc

=O

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