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Evaluate the Following: `([[1 3],[-1 -4]]+[[3 -2],[-1 1]])[[1 3 5],[2 4 6]]` - Mathematics

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Question

Evaluate the following:

`([[1              3],[-1    -4]]+[[3        -2],[-1         1]])[[1         3           5],[2            4               6]]`

Sum

Solution

`([[1              3],[-1    -4]]+[[3        -2],[-1         1]])[[1         3           5],[2            4               6]]`

`⇒([[1+3                      3-2],[-1-1       -4+1]])``[[1         3           5],[2            4               6]]`

`⇒[[4                   1],[-2         -3]] [[1         3           5],[2           4            6]]`

`⇒[[4+2                12+4                      20+6],[-2-6       -6-12             -10-18]]`

`⇒ [[6                     16                       26],[-8         -18             -28]]`

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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 5.1 | Page 41

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