Linear Algebra Lecture Notes
Math 2418 Fall 2011
Dr. Richard Ketchersid
1
1 Introduction
1
2
Introduction
We will study how to solve four central problems in Linear
Algebra and the associated matrix decompositions that arise from
the solutions
Linear Syst
Math 2418 Fall 2012
Written Homework 6
Problem 1 (15 pts) Let
1
110
A = 0 1 1 1
1
021
(a) (5 pts) Give a basis for NS(A) and give a geometric description of this subspace of R4 .
(b) (5 pts) Find a basis for NS(A) .
1
2
(c) (5 pts) nd w NS(A) and u NS(A)
Preliminary Syllabus for MATH 2418 Spring 2012
Course information
Sec
001
002
Instructor
Dr. Ketchersid
Dr. Ketchersid
Where
JO 3.516
FO 1.502
Days
TR
TR
Time
1:00 pm 2:15 pm
2:30 pm 3:45 pm
Instructor Contact Information
Instructor (course Coordinator):
Problem 1 Let B =
Math 2418 Fall 2012
Written Homework 5
1
3
2 , 0 . Let W = Span(B ).
2
1
(a) Find a basis, C , for W consisting of orthonormal vectors.
B
2
(b) Find
.
1
4
(c) Find 10 .
13 B
(d) Find the matrix that converts elements of W into their B
Linear Algebra Lecture Notes
Math 2418 Fall 2011
Dr. Richard Ketchersid
1
1 Introduction
1
2
Introduction
We will study how to solve four central problems in Linear
Algebra and the associated matrix decompositions that arise from
the solutions
Linear Syst
Math 2418 Fall 2012
Written Homework 2
Problem 1 (Practice on using the properties of inner products.) A key property of the inner product is
the Cauchy-Schwartz inequality
| u|v | u u
This is proved in your notes. (Make sure you work through it!)
Use onl
Math 2418 Fall 2012
Written Homework 1
Problem 1 This exercise concerns the algebra of complex numbers. You may nd it useful to use the
representation z = rei and z = rei for some of the parts.
(a) Solve (3 2i)z = 1 + i.
(b) Show that z =
z + z
2
z z
+
i.