Write as a Vector Equality x+y-z=-1 , -x+z=0 , y+4z=19

Problem

{[x+y−z=−1],[−x+z=0],[y+4*z=19])

Solution

1. Identify the variables in the system of linear equations, which are x y and z

2. Extract the coefficients of each variable from each equation to form the column vectors.

3. Represent the system as a linear combination of these column vectors multiplied by their respective variables.

4. Set the resulting vector sum equal to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[1],[−1],[0]]+y*[[1],[0],[1]]+z*[[−1],[1],[4]]=[[−1],[0],[19]]

Want more problems? Check here!