Write as a Vector Equality -x-4y+2z+w=-32 , 2x-y+7z+9w=14

Problem

{[−x−4*y+2*z+w=−32],[2*x−y+7*z+9*w=14])

Solution

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

2. Express the system as a linear combination of these column vectors, where each variable acts as a scalar multiplier.

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

Final Answer

x*[[−1],[2]]+y*[[−4],[−1]]+z*[[2],[7]]+w*[[1],[9]]=[[−32],[14]]

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