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Question

If A=[3112], show that A25A+I=0.

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Solution

Given, A=[3112]
Now, A2=AA=[3112][3112]=[913+2321+4]=[8553]A25A+7I=[8553]5[3112]+7[1001]=[8553][155510]+[7007]=[815+755+05+5+0310+7]=[0000]=0


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