APPLIED LINEAR ALGEBRA (McGill University MATH-270 (2010-Fall) Instructor: Prof. Jian-Jun Xu "McGill University values academic integrity. Therefore, all students must understand the meaning and consequences of cheating, plagiarism, and other academic off
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Christopher J. Phillips. The New Math: A Political History. 233 pp., gs., bibl., index.
Chicago/London: University of Chicago Press, 2015. $45 (cloth).
The new math is a phenomenon of the mid-twentieth century that
BOOK NOTES
An unpleasant truth is that We live in a most remarkable age of turmoil and turbulence (p. 19). Thus, although LL scholarship must continue to expand its
methods and conceptual frameworks, Rubdy and Ben Saids edited collection
Conict, exclusion
96
Proceedings For the Year
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1958
COMMENTARY
to make the discussion more fruitful, I would proI NposeORDER
to concentrate on the main points of Dr. von Hildebrand's
lecture. They seem to me to be the following:
First, it is not true that affectivity and
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Suitcase
One ear is going,
packing its suitcase
early.
It is packing the rain.
It is taking some leaves.
These.
Also that russeting bird
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Linear Algebra Notes
Chapter 19 KERNEL AND IMAGE OF A MATRIX
Take an n m matrix a11 a21 A= . . . an1 and think of it as a function A : Rm - Rn . The kernel of A is defined as ker A = set of all x in Rm such that Ax = 0. Note that ker A lives in Rm . The i
McGill University Math 270: Applied Linear Algebra
CHAPTER 2:
MATRICES AND DETERMINANTS
1 Matrix Algebra
Suppose given two matrices two matrices are equal,
A = [aij ] and B = [bij ]. The
A = B,
if and only if
They have the same dimensions; All correspond
APPLIED LINEAR ALGEBRA - THE LECTURE NOTES FOR MATH270 (2010)-Fall
APPLIED LINEAR ALGEBRA
JIAN-JUN XU
Department of Mathematics and Statistics, McGill University
Kluwer Academic Publishers Boston/Dordrecht/London
Contents
1. SOLUTIONS OF SYSTEMS OF LINEAR
McGill University Math 270-2010 Fall: Applied Linear Algebra Written Assignment 3: due on Monday, Nov. 15, 2010, hand in in class. 1. Linear transformations: (a) Let Pn be the space of polynomials of degree less than or equal to n in a variable x with rea
McGill University Math 270-2010 Fall: Applied Linear Algebra Written Assignment 2: due on Monday, Oct. 18, 2010 1. Vector Space (a) In vector space P2 , let (S) be the set consisting of three quadratics: 1 + 2x + 3x2 , 4 + 5x + 6x2 , 7 + 8x + 9x2 .
Does
McGill University Math 270-2010 Fall: Applied Linear Algebra Written Assignment 1: due on Monday, Oct. 4, 2010 1. Give (3 5) matrix: A=
1 -2 2 -4 3 -6
0 1 1
1 -1 0 -1 1 0
.
(a) Determine the dimension of the subspaces col(A) and row(A); (b) Find the basis