Show that any homogeneous system of linear equations either has only the trivial solution or infinitely many solutions and so every homogeneous linear system is consistent. b) Give example of a homogeneous linear system with only the trivial solution. c) Give example of a homogeneous linear system having infinitely many non-trivial solutions. d) By using the Cramer's rule, solve the following system: X X X + 2y + 3y + 3y - = Z 2 2 + 3z = + 5z =