Write as a Vector Equality x+y-2z=9c , x+2y-3z=3 , -1x+4z=-6

Problem

{[x+y−2*z=9*c],[x+2*y−3*z=3],[−1*x+4*z=−6])

Solution

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

2. Represent the variables as a column vector x containing x y and z

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

4. Construct the vector equality by multiplying the coefficient matrix by the variable vector and setting it equal to the constant vector.

Final Answer

[[1,1,−2],[1,2,−3],[−1,0,4]]*[[x],[y],[z]]=[[9*c],[3],[−6]]

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