Write as a Vector Equality (x+y+6z)=4 , (x+y+3z)=4 , (x+2y+4z)=9

Problem

{[x+y+6*z=4],[x+y+3*z=4],[x+2*y+4*z=9])

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],[2]]+z*[[6],[3],[4]]=[[4],[4],[9]]

Want more problems? Check here!