MATH 54 QUIZ 1-
1. Assume the following assertions are true:
There are courses at Berkeley.
In every Berkeley course, there is a student who understands everything.
Circle each of the following assertions which must also then be true:
a. There is a Berkeley course in which there is a student who understands something.
b. There is a Berkeley course in which there is a student who understands nothing.
c. There is a Berkeley course in which every student understands something.
d. There is a Berkeley course in which every student understands everything.
e. There is a Berkeley course in which no student understands everything.
2. For what numbers a, b, c is the following matrix in row echelon form (REF) or reduced row echelon form (RREF)?
