Homework # 5 - Math 241
The problems on this homework must be done alone. The honor code is in effect.
First name: Last name:
1. If \(B\) is a 5 by 5 matrix with determinant 3, what is the determinant of the matrix \(2B\)
a. 3
b. 6
c. 24
d. 48
e. 96
2. If \(B\) is a 5 by 5 matrix with determinant 3, what is the determinant of the matrix \(B^{-1}\)
b. 1
c. \(\frac{1}{3}\)
d. \(\frac{1}{15}\)
e. 0
3. Find the area of the parallelogram with a vertex at the origin and vertices at the points (2,1) and (1,2) adjacent to the one at the origin.