by Gilbert Strang (gilstrang@gmail.com) ISBN : 978-17331466-7-8

Go to Introduction to Linear Algebra (5th Edition) website

**Please click on the desired resource to download it or open up a new link**

### Table of Contents and Preface to the 6th edition (ILA6)

### Front and Back Covers and Copyright Page (ILA6)

**Linear Algebra for Everyone (2020)**### Linear Algebra and Learning from Data (2019)

### Differential Equations and Linear Algebra

### Computational Science and Engineering

### Calculus

### Section 1.4 : Matrix Multiplication

*AB*and*CR*### Section 2.2 : Elimination Matrices and Inverse Matrices

### Section 3.5 : Dimensions of the Four Subspaces

### Section 6.1 : Introduction to Eigenvalues

### Appendix 1 : The ranks of

*AB*and*A*+*B*

**Early :** Information about the video lectures for Math 18.06 and 18.06SC

A new set of videos is planned for this 6th edition.

### Matrix World : The Picture of All Matrices, by Kenji Hiranabe

*LU*and*CR*Elimination (*SIAM Review***64**(2022) 181-190)

### Fourier Series

### Norms and Condition Numbers

### IterativeMethods and Preconditioners

### Linear Algebra for Cryptography

### Linear Programming (Section 10.4 of Introduction to Linear Algebra, 5th edition)

Wellesley-Cambridge Press (USA)

Book Order from Wellesley-Cambridge Press (USA)

Book Order for SIAM members

Book Order from American Mathematical Society

Book Order from Cambridge University Press (outside North America)

Book Order from Wellesley Publishers (India only)

While playing, click the word 'YouTube'

to watch a larger video in a separate tab

My friend Pavel Grinfeld at Drexel has sent me a collection of interesting problems -- mostly elementary but each one with a small twist. These are part of his larger teaching site called LEM.MA and he built the page http://lem.ma/LAProb/especially for this website linked to the 5th edition.

Proof of Schur's Theorem

Singular Value Decomposition of Real Matrices (Prof. Jugal Verma, IIT Bombay, March 2020)

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