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Problem

[[4*x+y,x−3*y,5*x],[4*x,3*y,x+y]]+[[2*x,6*y,5*x+y],[5*x+2*y,x,4*x]]

Solution

1. Identify the corresponding elements in each matrix to be added together.

2. Add the elements in the first row, first column: (4*x+y)+2*x

3. Add the elements in the first row, second column: (x−3*y)+6*y

4. Add the elements in the first row, third column: 5*x+(5*x+y)

5. Add the elements in the second row, first column: 4*x+(5*x+2*y)

6. Add the elements in the second row, second column: 3*y+x

7. Add the elements in the second row, third column: (x+y)+4*x

8. Simplify each resulting expression by combining like terms.

Final Answer

[[4*x+y,x−3*y,5*x],[4*x,3*y,x+y]]+[[2*x,6*y,5*x+y],[5*x+2*y,x,4*x]]=[[6*x+y,x+3*y,10*x+y],[9*x+2*y,x+3*y,5*x+y]]

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