Write as a Vector Equality 3x-4y+2z=2 , x-y+2z=-3 , 2x+2y+3z=-4

Problem

{[3*x−4*y+2*z=2],[x−y+2*z=−3],[2*x+2*y+3*z=−4])

Solution

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

2. Define the vector of variables x as a column vector containing x y and z

3. Extract the constants from the right-hand side of the equations to form the constant vector b

4. Express the system in the form of a matrix-vector product A*x=b

5. Rewrite the system as a linear combination of column vectors multiplied by their respective variables.

Final Answer

x*[[3],[1],[2]]+y*[[−4],[−1],[2]]+z*[[2],[2],[3]]=[[2],[−3],[−4]]

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