Write as a Vector Equality x+y+z=13 , x-2y-z=5 , 2x-y-2z=4

Problem

{[x+y+z=13],[x−2*y−z=5],[2*x−y−2*z=4])

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],[2]]+y*[[1],[−2],[−1]]+z*[[1],[−1],[−2]]=[[13],[5],[4]]

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