Write as a Vector Equality 2x-y+3z=-9 , x+3y-2=10 , 3x+y-2=8

Problem

{[2*x−y+3*z=−9],[x+3*y−z=10],[3*x+y−z=8])

Solution

1. Identify the coefficients of the variables x y and z in each equation to form the column vectors.

2. Group the terms containing x y and z into separate vectors multiplied by their respective scalars.

3. Set the sum of these scaled vectors equal to the vector containing the constant terms from the right side of the equations.

Final Answer

x*[[2],[1],[3]]+y*[[−1],[3],[1]]+z*[[3],[−1],[−1]]=[[−9],[10],[8]]

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