Write as a Vector Equality x+2y+3z=9 , y+3z=5 , z=2

Problem

{[x+2*y+3*z=9],[y+3*z=5],[z=2])

Solution

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

2. Represent the system as a linear combination of these column vectors multiplied by their respective variables.

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

Final Answer

x*[[1],[0],[0]]+y*[[2],[1],[0]]+z*[[3],[3],[1]]=[[9],[5],[2]]

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