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

Problem

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

Solution

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

2. Define the vector of variables x as a column vector containing 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 to represent the vector equality.

Final Answer

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

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