trustle > EngliSea > M > Math > 32 Linear Algebra
 
 Summary of linear algebra
http://qindex.info/i.php?f=5093#3808
 
 01 Vectors, what even are they?
The fundamental, root-of-it-all building block of linear algebra is the vector, so it's worth making sure that we're all on the same page about what exactly a vector is.
http://qindex.info/i.php?f=5093#5094
 
 02 Linear combinations, span and basis vectors
Linear combinations, span, and basis vectors | Essence of linear algebra, chapter 2
http://qindex.info/i.php?f=5093#5179
 
 03 Linear transformations and matrices
Linear transformations and matrices | Essence of linear algebra, chapter 3
http://qindex.info/i.php?f=5093#5180
 
 04 Matrix multiplication as composition
Matrix multiplication as composition | Essence of linear algebra, chapter 4
http://qindex.info/i.php?f=5093#5181
 
 07 How to organize, add and multiply matrices
By now, I'm sure that in just anything you do in your life, you need numbers. In particular, though some fields don't just need a few numbers, they need lots of them. How do you keep track of those numbers?
http://qindex.info/i.php?f=5093#5195
 
 12.1 Vectors in the Plane Part 1
12.1 Vectors in the Plane Part 1
http://qindex.info/i.php?f=5093#5116
 
 12.1 Vectors in the Plane Part 2
12.1 Vectors in the Plane Part 2
http://qindex.info/i.php?f=5093#5278
 
 12.2 Vectors in Three Dimensions
12.2 Vectors in Three Dimensions
http://qindex.info/i.php?f=5093#5285
 
 12.2 Vectors In Three Dimensions 12.2.75
12.2 Vectors In Three Dimensions 12.2.75
http://qindex.info/i.php?f=5093#5286
 
 12.3 Dot Product Part 1
Given two nonzero vectors in two or three dimensions, their dot product is the product of the magnitudes times cosine of the angle between the two vectors.
http://qindex.info/i.php?f=5093#5287
 
 12.3 Dot Product Part 2
12.3 Dot Product Part 2
http://qindex.info/i.php?f=5093#5289
 
 12.4 Cross Product Part 1
Given two nonzero vectors in two or three dimensions, their cross product is a vector with magnitude equal to the product of the magnitudes of the vectors times the sine of the angle between the vectors and direction perpendicular to the vectors.
http://qindex.info/i.php?f=5093#5290
 
 12.4 Cross Product Part 2
12.4 Cross Product Part 2
http://qindex.info/i.php?f=5093#5292
 
 12.5 Lines and Curves in Space Part 1
12.5 Lines and Curves in Space Part 1
http://qindex.info/i.php?f=5093#5323
 
 12.5 Lines and Curves in Space Part 2
12.5 Lines and Curves in Space Part 2
http://qindex.info/i.php?f=5093#5324

CBlissMath
 Sec 2.2 Properties of matrix operations  

Dave
 01 Introduction to Vectors and Their Operations    02 The Vector Dot Product    03 Introduction to Linear Algebra    04 Understanding Matrices and Matrix Notation    05 Elementary Row Operations and Gauss-Jordan Elimination    06 Types of Matrices and Matrix Addition    07 Matrix Multiplication and Associated Properties    08 Evaluating the Determinant of a Matrix    09 The Vector Cross Product    10 Inverse Matrices and Their Properties    Orthogonality and Orthonormality  
 
 Linda Misener
2018-09-01 01:12
http://qindex.info/i.php?f=5093#5284
 
 Matrix
http://qindex.info/i.php?f=5093#3809

Matthew Salomone
 Matthew Salomone    202W.00 Getting Started    202W.01.1 What is Linear Algebra?    202W.02 The parametric solution set of a linear system    202W.02A Numbers of variables and equations means...    202W.02B What do pivots mean? 2x2 examples    202W.02C What do pivots mean? 3x3 examples    202W.03C Linear systems and linear combinations    202W.03D Intro to Matrices and Matrix Multiplication    202W.03E What does linear algebra "look like?"    202W.04E Linear Independence Activity 2.4.3  

Tensor
 01 Motivation    02 Tensor Definition    03 Correction on Forward + Backward Transforms    03 Forward and Backward Transformations (contains error; read description!    04 Vector definition    05 Vector Transformation Rules    06 What are Covectors?  
 
 What is a Vector Space? (Abstract Algebra)
What is a Vector Space? (Abstract Algebra)
http://qindex.info/i.php?f=5093#5206

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