English

Compute the indicated product. [(2, 1),(3, 2),(–1, 1)][(1, 0, 1),(–1, 2, 1)]

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Question

Compute the indicated product.

`[(2, 1),(3, 2),(-1, 1)][(1, 0, 1),(-1, 2, 1)]`

Sum
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Solution

`[(2, 1),(3, 2),(-1, 1)][(1, 0, 1),(-1, 2, 1)]`

= `[(2(1) + 1(-1), 2(0) + 1(2), 2(1) + 1(1)), (3(1) + 2(-1), 3(0) + 2(2), 3(1) + 2(1)), (-1(1) + 1(-1), -1(0) + 1(2), -1(1) + 1(1))]`

= `[(2 - 1, 0 + 2, 2 + 1), (3 - 2, 0 + 4, 3 + 2),(-1 - 1, 0 + 2, -1 + 1)]`

= `[(1, 2, 3),(1, 4, 5),(-2, 2, 0)]`

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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. (v) | Page 58
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