Math 250-C
Matlab Assignment #2
1
Revised 9/30/12
LAB 2: Linear Equations and Matrix Algebra
In this lab you will use Matlab to study the following topics:
Solving a system of linear equations by using the reduced row echelon form of the augmented matrix
640:250 Linear Algebra
EXAM 1: REVIEW PROBLEMS (Brief Solutions)
rev. 2 Oct. 2012
1. (a) Every column of A is a pivot column, so if Ax = 0 then x = 0.
(b) rref(A) is the identity matrix, so A has pivot in every column. Hence S is independent.
2. (b) Yes:
Math 250-C
1
Matlab Assignment #4
Revised 5/16/12
LAB 4: General Solution to Ax = b
In this lab you will use Matlab to study the following topics:
The column space Col(A) of a matrix A
The null space Null(A) of a matrix A.
Particular solutions to an in
Math 250C, Sections C1 and C3 Sakai submission
Matlab # 4
1
Revised 12/24/2015
LAB 4: General Solution to Ax = b
In this lab you will use Matlab to study the following topics:
The column space Col(A) of a matrix A
The null space Null(A) of a matrix A.
Math 250-C
Matlab Assignment #5
1
Revised 12/06/12
LAB 5: Eigenvalues and Eigenvectors
In this lab you will use Matlab to study these topics:
The geometric meaning of eigenvalues and eigenvectors of a matrix
Determination of eigenvalues and eigenvectors
Math 250-C
1
Matlab Assignment #3
Revised 5/14/12
LAB 3: LU Decomposition and Determinants
In this lab you will use Matlab to study the following topics:
The LU decomposition of an invertible square matrix A.
How to use the LU decomposition to solve the
Math 250C, Sections C1 and C3 Sakai submission
Matlab # 2
1
Revised 12/24/2015
LAB 2: Linear Equations and Matrix Algebra
In this lab you will use Matlab to study the following topics:
Solving a system of linear equations by using the reduced row echelon
%Math 250 MATLAB Assignment #5
%Diaa Khalil
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%Question 1
% (a)
eigshow
% (i) there is one positive eigenvalue for A
% (ii) there is one negative eigenvalue for A
% (iii) the eigenvalues are approximately 6/5 and -1/2
% (b)
% (
Math 250-C
Matlab Assignment #1
1
Revised 6/14/12
LAB 1: Matrix and Vector Computations in Matlab
In this lab you will use Matlab to study the following topics:
How to create matrices and vectors in Matlab.
How to manipulate matrices in Matlab and creat
Math 250C, Sections C1 and C3 Sakai submission
Matlab # 1
1
Revised 12/24/2015
LAB 1: Matrix and Vector Computations in Matlab
In this lab you will use Matlab to study the following topics:
How to create matrices and vectors in Matlab.
How to manipulate
Lesson 22
Orthogonal Projections (6.3) continued
Least Squares Approximation (6.4)
MATH 250 Fall 2015
December 02, 2015
Upcoming: December 04th - Matlab 6
December 07th - Quiz 7 (on 6.3, 6.4)
Dec 18, 8-11 AM: Section C1 final at Beck Auditorium
Dec 22, 12
Lesson 20
Orthogonal Vectors (6.2)
MATH 250 Fall 2015
November 23, 2015
Upcoming: November 30th - Quiz 6
December 04th - Matlab 6
December 07th - Quiz 7
(MATH 250 Fall 2015)
Lesson 20
November 23, 2015
1/8
Orthogonal & Orthonormal Vectors
Orthogonal & Ort
Lesson 21
Orthogonal Projections (6.3)
MATH 250 Fall 2015
November 30, 2015
Upcoming: Today - Quiz 6 (on 6.1, 6.2)
December 04th - Matlab 6
December 07th - Quiz 7 (on 6.3, 6.4)
(MATH 250 Fall 2015)
Lesson 21
November 30, 2015
1/7
Orthogonal Complement
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Quiz 1
Part1:1.1
Any scalar multiple of a zero matrix is always the zero scalar
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If B is a 3x4 matrix, then its rows are 4x1 vectors
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Math 250C, Sections C1 and C3 Sakai submission
Matlab # 6
1
Revised 12/24/2015
LAB 6: Orthonormal Bases, Orthogonal Projections, and QR decomposition
In this lab you will use Matlab to study the following topics:
Geometric aspects of vectors norm, dot pr
Math 250C, Sections C1 and C3 Sakai submission
Matlab # 5
1
Revised 12/24/2015
LAB 5: Eigenvalues and Eigenvectors
In this lab you will use Matlab to study these topics:
The geometric meaning of eigenvalues and eigenvectors of a matrix
Determination of
Math 250C, Sections C1 and C3 Sakai submission
Matlab # 3
1
Revised 12/24/2015
LAB 3: LU Decomposition and Determinants
In this lab you will use Matlab to study the following topics:
The LU decomposition of an invertible square matrix A.
How to use the
Math 250C, Sections C1 and C3 Sakai submission
Matlab Demo
1
Created by G. M. Wilson, revised 12/23/2015
MATLAB Demo
In this lab, we will learn how to use the basic features of Matlab needed to successfully complete a lab
assignment, and how to properly f
Lesson 23
Orthogonal Matrices (6.5) continued
Symmetric Matrices (6.6)
MATH 250 Fall 2015
December 07, 2015
Upcoming: December 07th - Quiz 7 (on 6.3, 6.4)
Dec 18, 8-11 AM: Section C1 final at Beck Auditorium
Dec 22, 12-3 PM: Section C2 final at SEC 111
(M
Lesson 15
Eigenvalues and Eigenvectors (5.1)
MATH 250 Fall 2015
October 28, 2015
Upcoming: (Today) October 28th - Quiz 4
(on 3.1, 3.2, 4.1,4.2)
November 06th - MATLAB Lab Assignment 4
(MATH 250 Fall 2015)
Lesson 15
October 28, 2015
1/8
Eigenvalues and Eig
Lesson 15
Characteristic Polynomial (5.2)
MATH 250 Fall 2015
November 02, 2015
Upcoming: November 06th - MATLAB Lab Assignment 4
November 11th - Quiz 5
(on 4.3, 5.1, 5.2, 5.3)
(MATH 250 Fall 2015)
Lesson 15
November 02, 2015
1/7
Eigenvalues and Eigenspace
Lesson 19
Geometry of Vectors (6.1)
MATH 250 Fall 2015
November 18, 2015
Upcoming: November 20th - Matlab 5
November 30th - Quiz 6
(MATH 250 Fall 2015)
Lesson 19
November 18, 2015
1/6
Lengths and Distances
Length (Norm) of a Vector
Denition
1 The norm (al
640:250C
REVIEW PROBLEMSFINAL EXAM
revised 12/12/12
Note: This problem set concentrates on material from the end of the course. For a complete review, you
should also study the review problem sets for the two in-class exams. Please consider these
earlier
640:250C
EXAM 2: REVIEW PROBLEMS
revised Nov. 27, 2012
1. In each part below give the precise denition in one or more full sentences.
(a) The span of a set of vectors S = cfw_u1 , . . . , uk ;
(b) A linearly independent set of vectors S = cfw_u1 , . . . ,