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Problem

[[2,3],[1,0],[1,−3]]+3*[[3,−2],[1,5],[−4,3]]

Solution

1. Perform scalar multiplication by multiplying every element in the second matrix by 3

[[3*(3),3*(−2)],[3*(1),3*(5)],[3*(−4),3*(3)]]=[[9,−6],[3,15],[−12,9]]

2. Set up the addition of the two matrices by placing the corresponding elements together.

[[2+9,3+(−6)],[1+3,0+15],[1+(−12),−3+9]]

3. Simplify the sums to find the final resulting matrix.

[[11,−3],[4,15],[−11,6]]

Final Answer

[[2,3],[1,0],[1,−3]]+3*[[3,−2],[1,5],[−4,3]]=[[11,−3],[4,15],[−11,6]]

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