MATH 184 - QUIZ 3 (Take-Home)
Due: Monday March 09, 2015
Name:
Attempt the following problems (in one sitting) with integrity: no notes, books, internet, friends, tutors,
tech devices, etc. Be sure to show all work and give explanations where needed for f

MATH 184 - Practice Final Exam
May 16, 2016
1 2
2
2 1
1. Let A = 2
2 2 2
a. Find the eigenvalues and corresponding eigenspaces of A
b. Find an invertible matrix P such that P 1 AP is diagonal. Be sure to show that P is invertible
for full credit.
1 0
c.

MATH 184 Final Exam
May 18, 2015
Name:
1 2 6
1. Let A = 2 2 5 . Complete the following:
2
1
8
a. List the possible Jordan Canonical forms of A
b. Calculate the rank and nullity of A
c. Calculate the trace of A
d. Determine if A is invertible. If so, find

MATH 184 - QUIZ 1
February 02, 2015
Name:
1.1.3) Solve the system:
2x + 3y 4z = 3
2x + 3y 2z = 3
4x + 6y 2z = 7
1.2.28) Give an example of two matrices A and B for which AB = 0 with A 6= 0 and B 6= 0.
1.3.9) Use the inverse of the coefficient matrix to so

MATH 184 Exam 1
March 23, 2015
Name:
1 0 2
1. Let A = 1 1 1 . Find the following:
3 0 1
1
a. solve Ax = 2
3
b. nullity(A)
c. det(A)
d. adj(A)
e. A1
2. Determine if the following nonempty subsets are subspaces of the underlying vector spaces. Be sure
to e

MATH 184 - QUIZ 2
February 11, 2015
Name:
2 1 3
1 2
1. Let A = 4
3 2
1
a) Find det(A) by expanding by column 3.
b) Find adj(A)
c) Use the adjoint method to find the inverse of A.
2. Define addition on R2 , by (a, b) + (c, d) = (a, d), and scalar multipli

MATH 184 Exam 2
April 15, 2015
Name:
4 0 1
1. Let A = 2 1 0 . Complete the following:
2 0 1
a. Use A to define a linear transformation T . Be sure to give the domain, codomain, and formula
for T
b. Find the eigenvalues of A
c. Find the eigenvectors of A a

MATH 184 - Practice Exam 2
April 25, 2016
Name:
Exam 2 will have 6 questions, one chosen from each problem type below. Note that some problem
types may be done using multiple methods.
1. Integrating Factor Questions:
a. (xy 1)dx + (x2 xy)dy = 0
b. (12yx2