Write as a Vector Equality 6x-4y-2z=12 , 2x+y-4z=5 , 4x+2y-3z=5

Problem

{[6*x−4*y−2*z=12],[2*x+y−4*z=5],[4*x+2*y−3*z=5])

Solution

1. Identify the coefficients of the variables x y and z for each equation in the system.

2. Represent the system as a linear combination of constant vectors multiplied by the variables.

3. Construct the vector equality by grouping the coefficients of x into one vector, y into another, and z into a third, then setting their sum equal to the vector of constants.

Final Answer

x*[[6],[2],[4]]+y*[[−4],[1],[2]]+z*[[−2],[−4],[−3]]=[[12],[5],[5]]

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