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If A is of order p × q and B is of order q × r what is the order of AB and BA? - Mathematics

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प्रश्न

If A is of order p × q and B is of order q × r what is the order of AB and BA?

योग

उत्तर

If A is of order p × q .....[∵ p × q q × r = p × r]
the order of AB = p × r .......[∵ q × r p × q = r ≠ p]
Product of BA cannot be defined/found as the number of columns in B ≠. The number of rows in A.

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अध्याय 3: Algebra - Exercise 3.18 [पृष्ठ १५३]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
अध्याय 3 Algebra
Exercise 3.18 | Q 2 | पृष्ठ १५३
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