Write as a Vector Equality x+y+3z=11 , x+y+9z=-29 , x+4y-7z=7

Problem

{[x+y+3*z=11],[x+y+9*z=−29],[x+4*y−7*z=7])

Solution

1. Identify the coefficients of the variables x y and z 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 of constants from the right-hand side of the equations.

Final Answer

x*[[1],[1],[1]]+y*[[1],[1],[4]]+z*[[3],[9],[−7]]=[[11],[−29],[7]]

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