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If a =`[[2 3],[5 7]],B =` `[[-1 0 2],[3 4 1]]`,`C= [[-1 2 3],[2 1 0]]`Find a + B and B + C

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Question

If A =`[[2,3],[5,7]],B =` `[[-1,0 ,2],[3,4,1]]`,`C= [[-1,2,3],[2,1,0]]`find : A + B and B + C

Sum
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Solution

`A +B = [[2   3],[5    7]]``+[[-1    0     2],[3     4     1 ]]`

It is not possible to add these matrices because the number of elements in A are not equal to the

number of elements in B. So, A + B does not exist.

⇒ B+C= `[[-1     0     2],[3      4      1]]`+`[[-1     2      3],[2      1       0]]`

⇒ B+C=`[[-1-1         0+2       2+3],[3+2           4+1          1+0]]`

⇒ B+C=`[[-2       2        5],[5        5         1]]`

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Chapter 4: Algebra of Matrices - Exercise 5.2 [Page 18]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 4 Algebra of Matrices
Exercise 5.2 | Q 3.1 | Page 18
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