MACS-332A - Linear Algebra
Homework #1: 1.1 - 1.3
True or False. You must justify your answer.
1. Elementary row operations on an augmented matrix never change the solution set of the associated
linea
MACS-332A - Linear Algebra
Homework #1: 1.3 - 1.5
True or False. You must justify your answer.
1. The weights c1 , . . . , cn in a linear combination c1 v1 + + cn vn cannot all be zero.
False - see pa
MACS-332A - Linear Algebra
Homework #1: 1.5 - 1.8
True or False. You must justify your answer.
1. The equation x = x2 u + x3 v, with x2 and x3 free (and neither u nor v a multiple of the other), descr
MACS-332A - Linear Algebra
Homework #4: 1.9, 2.1 - 2.2
True or False. You must justify your answer.
1. The standard matrix of a linear transformation from R2 to R2 that reects points through the horiz
MACS-332A - Linear Algebra
Homework #6: 3.1-3.2, 4.1
True or False. You must justify your answer.
1. The cofactor expansion of detA down a column is the negative of the cofactor expansion along a row.
MACS-332A - Linear Algebra
Homework #7: 4.2-4.4
Due: Wednesday 3/28
True or False. You must justify your answer.
1. The column space of an m n matrix is in Rm .
True. See Theorem 3.
2. N ulA is the ke
MACS 332A - Summer 2007
NAME:
Quiz 2
In order to receive full credit, SHOW ALL YOUR WORK. Full credit will be given only if all reasoning and work
is provided. Please enclose your nal answers in boxes