Write as a Vector Equality 2x+y+z=0 , x-y+z=0 , 4x-y+3z=0

Problem

{[2*x+y+z=0],[x−y+z=0],[4*x−y+3*z=0])

Solution

1. Identify the coefficients of the variables x y and z for each equation in the system.

2. Construct the coefficient matrix A by arranging these coefficients into rows corresponding to each equation.

3. Define the vector of variables x as a column vector containing x y and z

4. Define the constant vector b as a column vector containing the values on the right side of the equations.

5. Express the system in the form A*x=b to create the vector equality.

Final Answer

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

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