Randolph College
Department of Mathematics and Computer Science

 

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 \(B^{-1}\)

a.  3

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.

a.  3

b.  1

c.  \(\frac{1}{3}\)

d.  \(\frac{1}{15}\)

e.  0