trustle > EngliSea > Corona Safe Schooling > mathematics > ¦math > 32 Linear Algebra
 
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.
5094
 
02 Linear combinations, span and basis vectors
Linear combinations, span, and basis vectors | Essence of linear algebra, chapter 2
5179
 
03 Linear transformations and matrices
Linear transformations and matrices | Essence of linear algebra, chapter 3
5180
 
04 Matrix multiplication as composition
Matrix multiplication as composition | Essence of linear algebra, chapter 4
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?
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12.1 Vectors in the Plane Part 1
12.1 Vectors in the Plane Part 1
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12.1 Vectors in the Plane Part 2
12.1 Vectors in the Plane Part 2
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12.2 Vectors in Three Dimensions
12.2 Vectors in Three Dimensions
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12.2 Vectors In Three Dimensions 12.2.75
12.2 Vectors In Three Dimensions 12.2.75
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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.
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12.3 Dot Product Part 2
12.3 Dot Product Part 2
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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.
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12.4 Cross Product Part 2
12.4 Cross Product Part 2
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12.5 Lines and Curves in Space Part 1
12.5 Lines and Curves in Space Part 1
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12.5 Lines and Curves in Space Part 2
12.5 Lines and Curves in Space Part 2
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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
5284
 
Matrix
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)
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¦ᑅ±ᑀ2020-04-18
Why is Linear Algebra Useful?
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