Write as a Vector Equality x+y+z=6 , 2x-y+3z=8 , x+2y=4

Problem

{[x+y+z=6],[2*x−y+3*z=8],[x+2*y=4])

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 each equation to form the constant vector b

4. Express the system in the form A*x=b to represent the vector equality.

Final Answer

[[1,1,1],[2,−1,3],[1,2,0]]*[[x],[y],[z]]=[[6],[8],[4]]

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