M ath 3353 T. Hagstrom Fall 2009 Quiz 3 1. ( 5 p ts.) Let
Compute CD.
2. (10 pts.) Compute the inverse of
3 . (10 pts.) Suppose that AB = AC where B a nd C a re n x p matrices and A is invertible. Show that B = C.
1.
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Starting Octave. GNU Octave, version 3.0.0 Copyright (C) 2007 John W. Eaton and others. This is free software; see the source code for copying conditions. There is ABSOLUTELY NO WARRANTY; not even for MERCHANTIBILITY or FITNESS FOR A PARTICULAR PURPOSE. F
Math 3353 Matlab Assignment 1  Due 9/25/09 T. Hagstrom
1. Create a 6 4 matrix A, a 4 3 matrix B , and two dierent 3 3 matrices C and D. Using them illustrate the following laws of matrix algebra: Associative (AB )C = A(BC ) Distributive B (C + D) = BC +
M ath 3353 T. Hagstrom Fall 2009 Quiz 1
1. ( 10 p ts.) Solve the following system
2 x1
+
3 x3 = 8 2 x2 9 x3 = 7 x2 + 5 x3 = 2
XI 
+
2. ( 10 pts.) Find the general soluion of the system whose augmented matrix is given by
(
3. (5 pts.) Compute u  2v if
?
Math 3353 Matlab Assignment 4  Due 11/18/09 T. Hagstrom
1. Using random similarity transforms build 3 3 matrices, A, with the indicated eigenvalues. Then, starting with a random 3vector, x(0) , compute x(k) = Ax(k1) , k = 1, . . . 25. Plot the iterates
M ath 3353 T. Hagstrom Fall 2009 Exam 1
1. (20 pts.) Find the general soluion of the linear system
2. (20 pts.) Compute the inverse of the following matrix
3 . (20 pts.) The commutator of the n x n matrices A a nd B is defined by
AB  B A
C ompute the com