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Given that matrices A and B are of order 3×n and m×5 respectively, then the order of matrix C = 5A +3B is :(a) 3×5 and m = n(b) 3×5(c) 3×3(d) 5×5 |
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Answer» Option : (b). 3 × 5 Since, order of matrices A and B are \(3\times n\) and \(m\times5\), respectively. Therefore, the order of matrices 5A and 3B are \(3\times n\) and \(m\times5\), respectively. We know that matrix addition of two matrices is possible if both matrices have same order. i.e., C is possible only if \(3\times n\) = \(m\times5\) ⇒ \(m=3\, \text{and}\, n=5\) And order of matrix C is \(m\times n = 3\times 5\) |
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