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If A = [2312], B = [132431], C = [12], D = [468579], then which of the sums A + B, B + C, C + D and B + D is defined? - Mathematics

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Question

If A = `[(2, 3),(1, 2)]`, B = `[(1, 3, 2),(4, 3, 1)]`, C = `[(1),(2)]`, D = `[(4, 6, 8),(5, 7, 9)]`, then which of the sums A + B, B + C, C + D and B + D is defined?

Sum

Solution

Only B + D is defined since matrices of the same order can only be added.

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Chapter 3: Matrices - Solved Examples [Page 46]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 3 Matrices
Solved Examples | Q 2 | Page 46

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