[Fred_Szabo]_The_Linear_Algebra_Survival_Guide_Il(Bokos-Z1).pdf

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The Linear Algebra Survival Guide: Illustrated with
Mathematica
The Linear Algebra
Survival Guide
Illustrated with
Mathematica
Fred E. Szabo, PhD
Concordia University
Montreal, Canada
AMSTERDAM • BOSTON • HEIDELBERG • LONDON • NEW YORK • OXFORD
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Notices
Knowledge and best practice in this field are constantly changing. As new research and experience broaden our understanding,
changes in research methods, professional practices, or medical treatment may become necessary.
Practitioners and researchers must always rely on their own experience and knowledge in evaluating and using any information,
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ISBN: 978-0-12-409520-5
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Printed and bound in the USA
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About the Matrix Plot
The image on the previous page is a
Mathematica
matrix plot of a random 9-by-9 matrix with integer
elements between -9 and 9.
Random matrices are used throughout the book where matrix forms are required to illustrate
concepts, properties, or calculations, but where the numerical content of the illustrations is largely
irrelevant.
The presented image shows how matrix forms can be visualized as two-dimensional blocks of color or
shades of gray.
MatrixForm[A
=
RandomInteger[{-− 9, 9},
{9,
9}]]
-−
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1
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6 4
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5 6
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9 5
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1 1
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5 4
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MatrixPlot[A]

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