MCLA CONCISE REVIEW
Anushree Sikchi
June 10th, 2014
Abstract
If I had this review guide in the beginning of the school year, I think
it would not have been as useful as I would have expected it to be. I
understand the terms and equations I put in here onl
Wednesday, September 3, 2014
6:16 PM
New Section 3 Page 1
New Section 3 Page 2
New Section 3 Page 3
New Section 3 Page 4
New Section 3 Page 5
New Section 3 Page 6
New Section 3 Page 7
Monday, September 8, 2014
6:07 PM
New Section 7 Page 8
New Section 7 Pa
INTRODUCTION TO LINEAR ALGEBRA Third Edition
MANUAL FOR INSTRUCTORS
Gilbert Strang
[email protected]
Massachusetts Institute of Technology
http:/web.mit.edu/18.06/www http:/math.mit.edu/~gs http:/www.wellesleycambridge.com
Wellesley-Cambridge Press Box 8120
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Assignment 4
Math 573, Numerical Analysis I, Fall 2014
Due : 5PM Tuesday, October 21
Justify your answer and provide the necessary explanations to get full credit.
1
Problem 1.(15 points.) Derive the Newton-Cotes formula for 0 f (x) dx
based on the nodes
Math 550A
1
MATLAB Assignment #2
Revised 8/14/10
LAB 2: Orthogonal Projections, the Four Fundamental Subspaces,
QR Factorization, and Inconsistent Linear Systems
In this lab you will use Matlab to study the following topics:
Geometric aspects of vectors:
Math 350 Fall 2011 Worksheet 2
Name:
The goal of this worksheet is to help you understand why every linear map
between two nite dimensional vector spaces can be represented by a matrix. All
vector spaces in this worksheet will be nite dimensional.
To begi
Math 350 Fall 2011 Worksheet 1
Name:
The goal of this worksheet is to introduce to you the concept of a quotient space,
and to guide you through the proof the rank-nullity theorem.
From now on, let V be a vector space over a eld F , and W be a subspace of
Math 350 Fall 2011
Notes about Diagonalization and Invariant subspaces
1. Diagonalization of a matrix
In this section, let A be an n n matrix with entries in a eld F .
Denition 1. The characteristic polynomial of A is by denition the polynomial
f (t) = de
Math 350 Fall 2011
Notes about the interplay of matrices with linear maps
One of the themes of the last two lectures was about the correspondence between
linear maps (between nite dimensional vector spaces) and matrices. In the following we describe how s
Math 350 Fall 2011
Midterm 2 review
In this set of problems, Mmn is the vector space of real m n matrices, and
Pn is the vector space of all polynomials of degree n of one variable with real
coecients. These are vector spaces over R.
1. (a) Is T : R3 R2 ,
Math 350 Fall 2011
Homework 1
1. Suppose A is a 3 3 matrix with entries in R, and that
1
1
2
2 , 1 and 1
3
0
1
are eigenvectors of A. Is A diagonalizable? Explain.
2. Suppose P2 is the vector space of all real polynomials of degree 2 over R,
and T : P2
Midterm 2 for Math 121, Fall 2006. Monday October 20. Time allowed: 53 minutes. You may assume all vector spaces are finite-dimensional unless otherwise stated. There are 110 points on this exam, and full score is 100 points. 1. Let A M3 (C) be the 3 3 ma