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(i) If  A = 4 5 5 6 , show that, A2 = 10A+I, where I is the units matrix of order 2.

A = 4556LHS = A2 = A . A = 45564556 = 16+2520+3020+3025+36 = 41505061RHS = 10A + I=10 4556 + 1001=40505060 + 1001=41505061Hence, LHS = RHS

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