Cramer’s+Rule++Set+3

Give an example of a system of 2 equations that has no solution, and ask your classmate to demonstrate what happens when he/she uses Cramer's Rule to solve. Then give a system of 2 equations that has infinitely many solutions and ask again what happens when one uses Cramer's Rule to solve.

A question of mine: How do you evaluate a 2x2 determinant? Give an example.

Another question of mine: How do you evaluate (by hand) a 3x3 determinant? There are two methods. Give an example of a 3x3 determinant, and show both methods.

Give an example of a system of 3 equations with 3 unknowns. Ask your classmate to demonstrate how to use Cramer's Rule to solve for one variable in particular (you decide).