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Compute the Indicated Products: `[[1 2],[2 3]][[1 2 3],[-3 2 -1]]` - Mathematics

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Question

Compute the indicated products:

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

Sum

Solution

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

`⇒[[1xx1+(-2xx(-3)           1xx2+(-2)xx2           1xx3+(-2)xx(-1)]],[2xx1+3xx(-3)                                   2xx2+3xx2                       2xx3+3xx(-1)]]`

`⇒ [[1+6     2-4        3+2],[2-9      4+6         6-3]]`

`⇒[[7      -2        5],[-7          10           3]]`

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Chapter 5: Algebra of Matrices - Exercise 5.3 [Page 41]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.3 | Q 1.2 | Page 41

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