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

Problem

{[x+z=3],[x+2*y−z=1],[2*x−y+z=3])

Solution

1. Identify the variables and their coefficients in each equation to form a system of linear equations.

2. Represent the coefficients of the variables x y and z as a matrix A

3. Define the vector of variables x and the vector of constants b from the right-hand side of the equations.

4. Construct the vector equality by expressing the system in the form A*x=b or as a linear combination of column vectors.

Final Answer

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

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