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Let A=[2342],B=[1−235],C=[−2354]A=[2432],B=[13-25],C=[-2534] Find Ba - CBSE (Science) Class 12 - Mathematics

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Question

Let `A = [(2,4),(3,2)] , B = [(1,3),(-2,5)], C = [(-2,5),(3,4)]`

Find BA

Solution

Matrix B has 2 columns. This number is equal to the number of rows in matrix A. Therefore, BA is defined as:

`BA = [(1,3),(-2,5)][(2,4),(3,2)] =[(1(2)+3(3), 1(4)+3(2)), (-2(2)+5(3), -2(4)+5(2))]`

`= [(2+9, 4+6), (-4+15, -8+10)] = [(11,10),(11,2)]`

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Solution Let A=[2342],B=[1−235],C=[−2354]A=[2432],B=[13-25],C=[-2534] Find Ba Concept: Operations on Matrices - Multiplication of Matrices.
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