Write as a Vector Equality -3x-6y+9z=-3 , x+2y-3z=1 , 2x+4y-6z=2

Problem

{[−3*x−6*y+9*z=−3],[x+2*y−3*z=1],[2*x+4*y−6*z=2])

Solution

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

2. Extract the variables x y and z as scalars multiplying their respective coefficient vectors.

3. Set the linear combination of these vectors equal to the vector formed by the constants on the right side of the equations.

Final Answer

x*[[−3],[1],[2]]+y*[[−6],[2],[4]]+z*[[9],[−3],[−6]]=[[−3],[1],[2]]

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