Homework # 2 - Math 241
The problems on this homework must be done alone. The honor code is in effect.
First name: Last name:
1. If \(A\) is a 3 by 5 matrix, what is the maximum number of pivot positions A could have?
a. 0
b. 1
c. 2
d. 3
e. 5
2. If \(A\) is a 3 by 5 matrix, what is the minimum possible number of free variables in the solution to the equation \(A{\bf x}= {\bf 0}\)?
3. If \(A\) is a 3 by 5 matrix, then the equation \(A{\bf x}= {\bf 0}\)
a. must have at most one solution.
b. may have at most one solution.
c. can't have at most one solution.