English

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

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Question

Compute the indicated product.

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

Sum
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Solution

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

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

= `[(6 - 1 + 9, -9 - 0 + 3), (-2 + 0 + 6, 3 + 0 + 2)]`

= `[(14, -6),(4, 5)]`

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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. (vi) | Page 58
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