Write as a Vector Equality x+y-z=-4 , 4x-y+z=6 , -x+4y-3z=1

Problem

{[x+y−z=−4],[4*x−y+z=6],[−x+4*y−3*z=1])

Solution

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

2. Extract the constants from the right side of the equations to form the constant vector.

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

Final Answer

x*[[1],[4],[−1]]+y*[[1],[−1],[4]]+z*[[−1],[1],[−3]]=[[−4],[6],[1]]

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