10/16/2016
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MAT 343 MATLab
Assignment 2
Question 1:
Part A:
>
>
>
>
>
n=1000;
A=floor(10*rand(n);
b=sum(A')';
z=ones(n,1);
tic,x=A\b;toc
Elapsed time is 0.159966 seconds.
>tic,y=inv(A)*b;toc
Elapsed time is 0.029
Elementary Row Operations: 1. Interchange two rows 2. Multiply a row by a nonzero real number 3. Replace a row by its sum with a multiple of another row
Over-determined System: More equations than unk
Assignment 5
Question 1(a)
The best straight-line model is y = 0, because the y is random numbers with a normal
distribution with mean 0 and variance 1.
Question1 (b)
x = [1:1:100]; % note the prime
x
MAT 343 MATLAB Assignment #3
% Exercise 1
%Declaring all the matrices as per the exercise
> A = floor(10*rand(4,3)
% generating a random 4x3 matrix
A =
8
9
1
9
6
0
2
5
9
9
1
9
> E1 = eye(4);
> E1([1,3
11/5/2016
MUS 354: Elvis
MUS354:ELVIS(SUMMERB2015)
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Section 3.2
Subspaces
Which of the following subsets of R^3x3 are subspaces of R^3x3?
A. The 3x3 matrices whose entries are all greater than or equal to 0
B. The 3x3 matrices whose entries are all int
Section 6.5
Singluar Value Decomposition
Find the singular values of sigma1>=sigma2 of A=[-2,-2,2,-1,1,1]
ATA=[-2,2,1,-2,-1,1][-2,-2,2,-1,1,1]=[9,3,3,6]
Let det(ATA-alphaI2)=0 where I2 is the 2x2 iden
Section 2.1 Determinant
Given the matrix A=[-1,-3;3,0] find its determinant.
The determinant of A is 9
Given the matrix [0,0,0;0,-5,-4;-5,0,-5]
(a) find its determinant
Your answer is: 0
(b) does the
Section 2.2
Properties of Determinants
If A and B are 2 x 2 matrices, det(A)=-3, det(B)=-7, then
det(AB)=21
det(-3A)=-27
det(AT)=-3
det(B^-1)=-0.1428
det(B^4)=2401
If the determinant of a 4 x 4 matrix
This copy is for your personal use during this course, and
as a personal reference in the future. However, any
reproduction or dissemination in any format of some or all
of this material is strictly p
This copy is for your personal use during this course, and
as a personal reference in the future. However, any
reproduction or dissemination in any format of some or all
of this material is strictly p
This copy is for your personal use during this course, and as a
personal reference in the future. However, any reproduction
or dissemination in any format of some or all of this material
is strictly p
Linear Algebra: HO2.2.1: Modeling Curves1
Consider f(x) = mx + b f(x) = Ax + B (generically)
What is the minimum number of points needed to define the values of A & B?
Each point exists on the curves
Applied Linear Algebra: HO1.2.1: Mathematic Symbols
Use this reference sheet to define the following important terms.
Mathematics is a symbolic language all its own.
The following symbols are a type o
Linear Algebra: HO2.3.1: Linear Systems Applications
Blending Systems:
Linear Algebra vs. Linear Programming:
Investments
2017
LinAlv9_HOSet2.3.docx
Linear Algebra: HO2.3.2: Linear Systems Application
Linear Algebra: HO2.1.1: Linear Systems Applications: Balance Systems I
Generically, the below diagram represents.
Reminder: We need as many _ equations as we have _.
Scenario:
Imagine that you have j
Linear Algebra 101: HO1.3.1: Matrices 101
A Matrix, E, is a rectangular _ of _:
e11 . e1n
. .
.
[E] .
.
.
.
. .
e
m1 . emn
Here, [E] is an m n matrix, or
a matrix of size m n (m by n)
m=
n=
I
MAT 343 MATLAB LAB 2
%Question 1.
a)
n=1000;
A=floor(10*rand(n);
b=sum(A')';
z=ones(n,1);
x=A\b
The solution of the system Ax=b is the vactor z.
Because b is a vector of a .
tic,x=A\b;toc
Elapsed time
This copy is for your personal use during this course, and as a
personal reference in the future. However, any reproduction
or dissemination in any format of some or all of this material
is strictly p
This copy is for your personal use during this course, and
as a personal reference in the future. However, any
reproduction or dissemination in any format of some or all
of this material is strictly p
This copy is for your personal use during this course, and
as a personal reference in the future. However, any
reproduction or dissemination in any format of some or all
of this material is strictly p
MAT342 Linear Algebra Exam 5/6
No aids (notes, books, calculators, etc.) are permitted.
Every step in your arguments must be explained.
The whole test is 180 pts.
(50 pts)
1. Let
1
A= 0
1
0 1 3
1
2
MAT342 Linear Algebra Quiz 3/27
No aids (notes, books, calculators, etc.) are permitted.
In every exercise there is exactly one correct answer.
A correct answer gives 2 pts, wrong answer 0 pts, and by
MAT342 Linear Algebra Quiz 4/17
No aids (notes, books, calculators, etc.) are permitted.
In every exercise there is exactly one correct answer.
A correct answer gives 2 pts, wrong answer 0 pts, and by
MAT342 Linear Algebra Exam 3/4
No aids (notes, books, calculators, etc.) are permitted.
In problems that are not multiple choice, every step in your arguments must be explained.
In these problems, a c
MAT342 Linear Algebra Midterm Exam #1, 2/20-2014
No aids (notes, books, calculators, etc.) are permitted.
In problems that are not multiple choice, every step in your arguments must be explained.
In t