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Question

If A=-1-2-221-22-21, show that adj A = 3AT.

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Solution

A=-1-2-221-22-21Now,C11=1-2-21=-3, C12=-2-221=-6 and C13=212-2=-6C21=--2-2-21=6, C22=-1-221=3 and C23=--1-22-2=-6C31=-2-21-2=6, C32=--1-22-2=-6 and C33=-1-221=3adj A=-3-6-663-66-63T=-366-63-6-6-63AT=-122-21-2-2-213AT=-366-63-6-6-633AT=adj A

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