Write as a Vector Equality x+y+2z=-1 , x+3y-6z=5 , 2x+5y-8z=7

Problem

{[x+y+2*z=−1],[x+3*y−6*z=5],[2*x+5*y−8*z=7])

Solution

1. Identify the variables in the system of linear equations, which are x y and z

2. Extract the coefficients of each variable from the left side of the equations to form the column vectors.

3. Write the system as a linear combination of these column vectors, where each variable scales its corresponding coefficient vector.

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

Final Answer

x*[[1],[1],[2]]+y*[[1],[3],[5]]+z*[[2],[−6],[−8]]=[[−1],[5],[7]]

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