Write as a Vector Equality w-3x+2y-z=8 , 3w-7x+z=0

Problem

{[w−3*x+2*y−z=8],[3*w−7*x+z=0])

Solution

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

2. Extract the coefficients of each variable from both equations to form the column vectors.

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

4. Set the resulting vector sum equal to the vector of constants from the right-hand side of the equations.

Final Answer

w*[[1],[3]]+x*[[−3],[−7]]+y*[[2],[0]]+z*[[−1],[1]]=[[8],[0]]

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