Write as a Vector Equality 3x-y+z=-10 , -2x+4y+z=-20 , 6x+8y+z=-100

Problem

{[3*x−y+z=−10],[−2*x+4*y+z=−20],[6*x+8*y+z=−100])

Solution

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

2. Express the system as a linear combination of these column vectors, where each vector is multiplied by its corresponding variable.

3. Set the sum of these scaled vectors equal to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[3],[−2],[6]]+y*[[−1],[4],[8]]+z*[[1],[1],[1]]=[[−10],[−20],[−100]]

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