Add [[1,2],[2,1]]+[[1,2],[2,1]]

Problem

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

Solution

1. Identify the matrices to be added. Both are 2×2 matrices, so addition is defined.

2. Add the corresponding elements from each matrix by summing the values in the same row and column positions.

3. Calculate the sum for the first row, first column: 1 + 1 = 2$.

4. Calculate the sum for the first row, second column: 2 + 2 = 4$.

5. Calculate the sum for the second row, first column: 2 + 2 = 4$.

6. Calculate the sum for the second row, second column: 1 + 1 = 2$.

7. Construct the resulting matrix using these sums.

Final Answer

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

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