- 9x 18x 9x X = y = Z = = ++ 3y + gy 3y - - 4z 4z = 2z = - 24 30 18

For the following system of linear equations: -X1 + X2 + 5x3 = 1 + 2x₂ + 4x3 X4 = 2 6x3 + x4 = 4 2x1 Rewrite the linear system as a matrix equation. • Solve the linear system, writing the solution in general form.

Give an example of a 2×2 linear homogeneous system and an example of a 2×2 linear nonhomogeneous system. Write equations, not matrices.

How do you know whether a matrix has infinitely many solutions or one solution?