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Ful, Wi-(i) Let A and B be square matrices of order 3 x 3. Is (AB)2 = A2B27 Give reason.(NCERT Exemplar)

Answer»

Since, A and B are square matrices of the order 3 × 3.∴ (AB)2= AB.AB= A(BA)B= A(AB)B [If AB = BA]= AABB= A2B2So, (AB)2= A2B2is true only if AB = BA.



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