Write as a Vector Equality x+w=8 , 2x=16 , 4x+8z=8 , 2y=4

Problem

x+w=8,2*x=16,4*x+8*z=8,2*y=4

Solution

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

2. Rewrite each equation so that all variables are represented in the same order (x,y,z,w, using zero coefficients for missing variables.

3. Construct the coefficient matrix A by extracting the coefficients of each variable from the equations.

4. Define the variable vector v and the constant vector b from the right-hand side of the equations.

5. Express the system as a single vector equality in the form A*v=b

Final Answer

[[1,0,0,1],[2,0,0,0],[4,0,8,0],[0,2,0,0]]*[[x],[y],[z],[w]]=[[8],[16],[8],[4]]

Want more problems? Check here!