Add [[0,1,0],[2,0,1],[0,1,0]]

Problem

[[0,1,0],[2,0,1],[0,1,0]]+[[0,1,0],[2,0,1],[0,1,0]]

Solution

1. Identify the operation as matrix addition, which requires adding corresponding elements from each matrix.

2. Add the elements in the first row: 0+0=0 1+1=2 and 0+0=0

3. Add the elements in the second row: 2+2=4 0+0=0 and 1+1=2

4. Add the elements in the third row: 0+0=0 1+1=2 and 0+0=0

5. Combine these results into a new 3×3 matrix.

Final Answer

[[0,1,0],[2,0,1],[0,1,0]]+[[0,1,0],[2,0,1],[0,1,0]]=[[0,2,0],[4,0,2],[0,2,0]]

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