Question

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work. 4x-y+3z = 12 x+4y+6z =-32 5x+3y+9z = 20

Answer 1

You should find that your system doesn't have solutions. This is also confirmed by the fact that the determinant of the matrix of the coefficient of the variables x, y and z is equal to zero.