Math 21b: Linear Algebra
Spring 2018
Homework 12: Orthogonality
This homework is due on Monday, February 26, respectively on Tuesday, February 27, 2018.
Advise for Tue-Thu sections: try to do it earli
Math 21b: Linear Algebra
Spring 2018
Homework 4: Linear transformations
This homework is due on Monday, February 5, respectively on Tuesday February 6, 2018.
1 Which of the following transformations a
Math 21b: Linear Algebra
Spring 2018
Homework 8: Basis
This homework is due on Wednesday, February 14, respectively on Thursday, February 15, 2018.
1 Which of the following sets are linear spaces? Che
Math 21b: Linear Algebra
Spring 2018
Homework 9: Dimension
This homework is due on Friday, February 16, respectively on Tuesday, February 20, 2018.
1 Determine the rank and nullity of the following
v
Math 21b: Linear Algebra
Spring 2018
Homework 10: Coordinates
This homework is due on Wednesday, February 21, respectively on Tuesday, February 20, 2018.
1 What are the B-coordinates of the vector ~v
Math 21b: Linear Algebra
Spring 2018
Homework 15: Data fitting
This homework is due on Wednesday, March 7, respectively on Thursday, March 8, 2018.
1 a) Find
the least
square solution
x of the system
Math 21b: Linear Algebra
Spring 2018
Homework 5: Transformations in geometry
This homework is due on Wednesday, February 7, respectively on Thursday February 8, 2018.
1 a) Find the reflection matrix a
Math 21b: Linear Algebra
Spring 2018
Homework 2: Gauss-Jordan elimination
This homework is due on Wednesday, January 31, respectively on Thursday February 1, 2018.
1 Row reduce the following matrices
Math 21b: Linear Algebra
Spring 2018
Homework 3: The number of solutions
This homework is due on Friday, February 2, respectively on Tuesday February 6, 2018.
1 2 3 4 5
2 3 4 5 6
1 Given A = 3 4 5 6
Math 21b: Linear Algebra
Spring 2018
Homework 14: Orthogonal transformations
This homework is due on Monday, March 5, respectively on Tuesday, March 6, 2018.
1 Determine from each of the following mat
Math 21b: Linear Algebra
Spring 2018
Homework 11: Linear spaces
This homework
1
is due on Friday, February 23, respectively on Thursday, February 22, 2018.
1 Which of the following spaces are linear s
Math 21b: Linear Algebra
Spring 2018
Homework 13: Gram Schmidt and QR
This homework is due on Friday, March 2, respectively on Tuesday, March 6, 2018.
3 2
3 2
1 Perform the Gram-Schmidt process on
Math 21b: Linear Algebra
Spring 2018
Homework 1: Linear Equations
This homework is due on Monday, January 29, respectively Tuesday January 30, 2018. Homework
is due at the beginning of each class in t
Short Stories
Strategies, questions, and vocabulary
Literary elements: Conflict
Most stories are built around a central
conflict or struggle between opposing
forces.
The five basic forms of conflict
NO GRAY AREAS
I lay on the cot, my hands folded behind my head, my stomach folded in knots. How
could this have happened? I asked myself.
I looked around the sparsely furnished nurses room. In the cor
Short Stories
Strategies, questions, and vocabulary
Literary element: Point of View
The vantage point from which a story is told.
First person: told by one of the characters in
his or her own words.
No Gray Areas
Literary Analysis
English 9 Honors
OK, so now we build off the skills that you demonstrated in creating effective literary analyses for Of
Mice and Men by crafting a one-page, typed essa
ENGLISH 9 HONORS
BIBLIOGRAPHY
You must submit a bibliography with at least five sources (you can have more) with your speech. It
contains publication information for your sources and should include al
ENGLISH 9 HONORS
SHORT STORY UNIT: JOURNAL ENTRIES
As we read short stories, you will be asked to compose several journal entries that ask you to reflect on
your own life experiences, as they pertain
NATURALISM IN OF MICE AND MEN/TO A MOUSE
Literary analysis
NATURALISM WRITING ASSIGNMENT
Prompt: Choose and compare at least two naturalistic concepts shared by Robert Burns poem To A Mouse and
John S
English 9 Honors
Pre-course Reading Assignment
Hello, Scholars! Welcome to English 9 Honors. Below you will find assignments
that you should complete before our first class, as they will form the basi
Subspaces
Thursday, October 08, 2015
6:23 PM
Ker(T) = null(A)
Range(T) = spancfw_a1,an
Is S a subspace?
If 0 not in S then not a subspace
If S is generated by set of vectors
If A is n x m matrix then:
clc
clear
%This program will compute for the volume of some solids
disp ('This program will help you to calculate the Volume of some Solid Figures')
%Choices
disp ('[A] Right Prism')
disp ('[B] Cube '
18.03SC Practice Problems 27
Laplace transform
Rules for the Laplace transform
f (t)est dt
Denition:
L[ f (t)] = F (s) =
Linearity:
L[ a f (t) + b g(t)] = a F (s) + b G (s).
L 1 :
F (s) essentially de
Computing the Laplace Transform
Quiz: What is L(1 + t)2 )?
Think about your answer and then look at the choices.
MIT OpenCourseWare
http:/ocw.mit.edu
18.03SC Differential Equations
Fall 2011
For info
Part II Problems
Problem 1: [Laplace transform] (a) Suppose that F (s) is the Laplace transform of f (t),
and let a > 0. Find a formula for the Laplace transform of g(t) = f ( at) in terms of F (s),
b
Part I Problems
Problem 1: Let be a given complex number. From the denition of the Laplace trans
z
form, nd L ezt and also its region of convergence.
Problem 2: By using the table of formulas, nd:
(a)
GLOSSARY: A DICTIONARY FOR LINEAR ALGEBRA
Adjacency matrix of a graph. Square matrix with aij = 1 when there is an edge from node
i to node j; otherwise aij = 0. A = AT for an undirected graph.
Affine