Write as a Vector Equality 2x+4y-z=15 , x+2y+4z=12 , x+2y-2z=6

Problem

{[2*x+4*y−z=15],[x+2*y+4*z=12],[x+2*y−2*z=6])

Solution

1. Identify the coefficients of the variables x y and z in each equation to form the coefficient matrix A

2. Define the variable vector x as a column vector containing the unknowns x y and z

3. Extract the constants from the right-hand side of the equations to form the constant vector b

4. Express the system in the form A*x=b or as a linear combination of column vectors.

Final Answer

x*[[2],[1],[1]]+y*[[4],[2],[2]]+z*[[−1],[4],[−2]]=[[15],[12],[6]]

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