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If `A = [(3,5),(4,-2)] and B = [(2),(4)]`Is the Product Ab Possible? Give a Reason. If Yes, Find Ab - ICSE Class 10 - Mathematics

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Question

if `A = [(3,5),(4,-2)] and B = [(2),(4)]`is the product AB possible? Give a reason. If yes, find AB

Solution

Yes, product AB is possible since the number of columns of matrix A is equal to the number of rows of matrix B. (Matrix A is of the order 2 × 2 and B is of the order of 2 × 1)

Thus, required product AB = `[(3,5),(4,-2)][(2),(4)] = [(6 + 20),(8-8)] = [(26),(0)]`

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APPEARS IN

 2010-2011 (March) (with solutions)
Question 1.2 | 3.00 marks

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Solution If `A = [(3,5),(4,-2)] and B = [(2),(4)]`Is the Product Ab Possible? Give a Reason. If Yes, Find Ab Concept: Multiplication of Matrix.
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