Write as a Vector Equality 3x-2y-2z=1 , 2x+y-2z=-4 , 5x+3y+4z=16

Problem

3*x−2*y−2*z=1,2*x+y−2*z=−4,5*x+3*y+4*z=16

Solution

1. Identify the coefficients of the variables x y and z from 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 each equation to form the constant vector b

4. Express the system in the form A*x=b which represents the vector equality.

Final Answer

[[3,−2,−2],[2,1,−2],[5,3,4]]*[[x],[y],[z]]=[[1],[−4],[16]]

Want more problems? Check here!