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Question

If A=4521, then show that A-3I=2 I+3A-1.

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Solution

We have, A=4521Now,adj(A)=1-5-24and A=-6A-1=-161-5-24Now, A-3I=I+3A-1LHS= A-3I=4521-31001=152-2RHS=2I+3A-1=21001-3×161-5-24=20.52.51-1=152-2=LHSHence proved.

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