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Compute the indicated product. [(1, –2),(2, 3)][(1, 2, 3),(2, 3, 1)]

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Question

Compute the indicated product.

`[(1, -2),(2, 3)][(1, 2, 3),(2, 3, 1)]`

Sum
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Solution

`[(1, -2),(2, 3)][(1, 2, 3),(2, 3, 1)]`

= `[(1 xx 1 + (-2)xx2, 1 xx 2(-2) xx 3, 1 xx 3(-2) xx 1), (2 xx 1 + 3 xx 2, 2 xx 2 + 3 xx 3, 2 xx 3 + 3 xx 1)]`

= `[(1 - 4, 2 - 6, 3 - 2),(2 + 6, 4 + 9, 6 + 3)]`

= `[(-3, -4, 1),(8, 13, 9)]`

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Chapter 3: Matrices - EXERCISE 3.2 [Page 58]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 3 Matrices
EXERCISE 3.2 | Q 3. (iii) | Page 58
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