Add

Problem

[[2/15,1/5,0],[29/15,3/5,2],[13/15,1/5,1]]+[[−40,5,−30],[20,−25,0],[35,40,−15]]

Solution

1. Identify the rule for matrix addition, which requires adding corresponding elements from each matrix.

2. Add the elements in the first row:

2/15+(−40)=2/15−600/15=−598/15

1/5+5=1/5+25/5=26/5

0+(−30)=−30

3. Add the elements in the second row:

29/15+20=29/15+300/15=329/15

3/5+(−25)=3/5−125/5=−122/5

2+0=2

4. Add the elements in the third row:

13/15+35=13/15+525/15=538/15

1/5+40=1/5+200/5=201/5

1+(−15)=−14

Final Answer

[[2/15,1/5,0],[29/15,3/5,2],[13/15,1/5,1]]+[[−40,5,−30],[20,−25,0],[35,40,−15]]=[[−598/15,26/5,−30],[329/15,−122/5,2],[538/15,201/5,−14]]

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