Write as a Vector Equality

Problem

{[1+1−1+1=1],[3+4+1−3=−8],[3+1−1−1=−15],[−1+2+1−3=−2])

Solution

1. Identify the coefficients of the terms on the left side of each equation to form the component vectors.

2. Group the corresponding terms from each equation into vertical column vectors.

3. Represent the system as a single vector equation where the sum of the column vectors equals the vector of the constants on the right side.

Final Answer

[[1],[3],[3],[−1]]+[[1],[4],[1],[2]]+[[−1],[1],[−1],[1]]+[[1],[−3],[−1],[−3]]=[[1],[−8],[−15],[−2]]

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