Write as a Vector Equality x-y-z+2s=1 , 2x-2y-z+3s=3 , -x+y-z=-5

Problem

{[x−y−z+2*s=1],[2*x−2*y−z+3*s=3],[−x+y−z=−5])

Solution

1. Identify the variables in the system of linear equations, which are x y z and s()

2. Extract the coefficients from each equation to form the column vectors for each variable.

3. Represent the system as a linear combination of these column vectors multiplied by their respective variables.

4. Equate the linear combination to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[1],[2],[−1]]+y*[[−1],[−2],[1]]+z*[[−1],[−1],[−1]]+s*[[2],[3],[0]]=[[1],[3],[−5]]

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