If there is one solution, enter it as an ordered pair.
If there is no solution, enter no solution. Spelling counts.
If there is an infinite number of solutions, enter infinite number of solutions. Spelling counts.

Problem 2

Solve the following system of equations, using whichever method you wish.

If there is one solution, enter it as an ordered pair.
If there is no solution, enter no solution. Spelling counts.
If there is an infinite number of solutions, enter infinite number of solutions. Spelling counts.

There is an infinite number of solutions as the equations are equivalent.

Problem 3

Let , , and . Find the vector that satisfies the equation .

Let and . Show that there are scalars and such that . You might want to sketch the vectors to get some intuition.

Let be the span of all vectors of the form . Find vectors and in such that