Section
MATHz2550 - MID-TERM EXAM 1 (Form A)
Spring 2015
Please write your name. There are ten questions and you are required to show your
work. Calculators are not allowed. (None of the problems involve messy computations.)
Good luck.
_ 1. If the proce
PRACTICE PROBLEMS FOR EXAM 3
(1) Let A be the matrix
1 2 0 1
A = 2 4 1 4 .
3 6 3 9
Find the reduced echelon form of A.
Answer:
1 2 0 1
A = 0 0 1 2 .
0 0 0 0
(2) For A above, find a basis for N ul A and Col A.
Answer:
Basis for Col A
0
1
2 , 1
3
3
Ba
PRACTICE PROBLEMS FOR EXAM 2
M. KRISHNAMURTHY
(1) Suppose is an eigenvalue of a matrix , is the matrix
invertible?
Answer: No
1 1 1 1
1 1 1 1
(2) Let =
1 1 1 1 Determine the rank of and all eigen1 1 1 1
values of . (Note that you can find all eigenv
Name M Form A
MATH: 2550 - EXAM 2
Spring 2017
There are twelve questions in total and each is worth 10 points. You are expected to
support your answers with proper reasoning or appropriate work. Calculators are not
allowed. The following notations are fol