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

Problem

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

Solution

1. Identify the coefficients of the variables x y and z from each equation to form the columns of the coefficient matrix.

2. Define the variable vector as a column vector containing the unknowns x y and z

3. Extract the constants from the right-hand side of each equation to form the constant vector.

4. Construct the vector equality by expressing the system as a linear combination of the column vectors multiplied by their respective variables.

Final Answer

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

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