APMAE 2101
Quiz 1
Feb 27, 2014
No calculator or notes. Write name, uni and HW group number on your exam
book. All answers and work in test book. Turn in exam with test book.
1. Determine the order of the equation and state whether the equation is linear o
APMAE 2101
Quiz 2
No calculator or notes.
Write answers and work in test book. Turn in quiz with test book.
Show all work!
1
2
1 2 1
1. For u = 2 , v = 4 and A = 2 3 0 calculate the following:
3
5
0 2 1
(a) (2 points) kuk2 .
Solution: 14
(b) (2 points)
Topics since Quiz 2
1. Determinants.
(a) Properties. Invertibility etc.
(b) Formula for 2x2.
(c) Cofactor formula.
2. Eigenvalue problem Ax = x.
(a) Solve |A I| = 0 for i .
(b) Solve (A i I)x = 0 for xi .
(c) Diagonalizability. = diag[i ]. S = [xi ]. AS =
Quiz 2 topics
Mechanics of matrices and vectors
Multiplication
Transpose
dot product
norm of a vector
Ax = b
Systems of linear equations
Using row operations
Complete solution
Null space
Rank
Existance and uniqueness of solutions
Reduced-row
Homework 7
APMA E3102
Due March 25 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure you understand the material and that what you write is your
own. Most p
Homework 10
APMA E3102
Due April 15 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure you understand the material and that what you write is your
own. Most
Homework 3
APMA E3102
Due February 12 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure that you understand the material and that what you write is
your own
Homework 5
APMA E3102
Due February 26 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure that you understand the material and that what you write is
your own
Homework 8
APMA E3102
Due April 4 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure you understand the material and that what you write is your
own. Most pr
Homework 1
APMA E3102
Due January 29 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure you understand the material and that what you write is your
own. Most
Homework 9
APMA E3102
Due April 8 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure you understand the material and that what you write is your
own. Most pr
Homework 11
APMA E3102
Due April 22 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure you understand the material and that what you write is your
own. Most
Homework 4
APMA E3102
Due February 19 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure that you understand the material and that what you write is
your own
Homework 2
APMA E3102
Due February 5 before 3 pm in course mailbox
Usual Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to talk to others, but make sure you understand the material and that what you write
is your own
Homework 6
APMA E3102
Due March 21 before 3 pm in course mailbox
Instructions. Clarity, presentation, and penmanship are essential. You are encouraged to
talk to others, but make sure that you understand the material and that what you write is
your own. U