Add -2[[1,1],[2,2]]+[[3,1],[3,1]]

Problem

−2*[[1,1],[2,2]]+[[3,1],[3,1]]

Solution

1. Perform scalar multiplication by multiplying every element in the first matrix by −2

−2*[[1,1],[2,2]]=[[−2,−2],[−4,−4]]

2. Set up the addition of the two resulting matrices.

[[−2,−2],[−4,−4]]+[[3,1],[3,1]]

3. Add corresponding elements from each matrix to find the final sum.

[[−2+3,−2+1],[−4+3,−4+1]]=[[1,−1],[−1,−3]]

Final Answer

−2*[[1,1],[2,2]]+[[3,1],[3,1]]=[[1,−1],[−1,−3]]

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