Discover
Browse
Linear Algebra
English
Linear Algebra
English
Loading player...
What's the big idea of Linear Algebra? **Course Intro**
Resources
(loading...)
Playlist (50 of 84 videos)
Playlist (50 of 84 videos)
1
What's the big idea of Linear Algebra? **Course Intro**
12:58
2
What is a Solution to a Linear System? **Intro**
5:28
3
Visualizing Solutions to Linear Systems - - 2D & 3D Cases Geometrically
8:19
4
Rewriting a Linear System using Matrix Notation
3:10
5
Using Elementary Row Operations to Solve Systems of Linear Equations
7:27
6
Using Elementary Row Operations to simplify a linear system
9:35
7
Examples with 0, 1, and infinitely many solutions to linear systems
6:30
8
Row Echelon Form and Reduced Row Echelon Form
6:41
9
Back Substitution with infinitely many solutions
11:05
10
The Gaussian Algorithm Visualized
13:37
11
What is a vector? Visualizing Vector Addition & Scalar Multiplication
6:40
12
Introducing Linear Combinations & Span
9:34
13
How to determine if one vector is in the span of other vectors?
5:00
14
Matrix-Vector Multiplication and the equation Ax=b
6:59
15
Matrix-Vector Multiplication Example
4:33
16
Proving Algebraic Rules in Linear Algebra --- Ex: A(b+c) = Ab +Ac
8:25
17
The Big Theorem, Part I
14:01
18
Writing solutions to Ax=b in vector form
4:48
19
Geometric View on Solutions to Ax=b and Ax=0.
6:21
20
Three nice properties of homogeneous systems of linear equations
7:53
21
Linear Dependence and Independence - Geometrically
8:16
22
Determining Linear Independence vs Linear Dependence
6:39
23
Making a Math Concept Map | Ex: Linear Independence
7:10
24
Transformations and Matrix Transformations
5:16
25
Three examples of Matrix Transformations
8:25
26
Linear Transformations
8:28
27
Are Matrix Transformations and Linear Transformation the same? Part I
3:04
28
Every vector is a linear combination of the same n simple vectors!
6:37
29
Matrix Transformations are the same thing as Linear Transformations
8:49
30
Finding the Matrix of a Linear Transformation
9:18
31
One-to-one, Onto, and the Big Theorem Part II
9:30
32
The motivation and definition of Matrix Multiplication
10:12
33
Computing matrix multiplication
5:37
34
Visualizing Composition of Linear Transformations **aka Matrix Multiplication**
14:00
35
Elementary Matrices
7:20
36
You can "invert" matrices to solve equations...sometimes!
7:12
37
Finding inverses to 2x2 matrices is easy!
3:04
38
Find the Inverse of a Matrix
6:30
39
When does a matrix fail to be invertible? Also more "Big Theorem".
8:45
40
Visualizing Invertible Transformations (plus why we need one-to-one)
8:12
41
Invertible Matrices correspond with Invertible Transformations **proof**
6:38
42
Determinants - a "quick" computation to tell if a matrix is invertible
9:14
43
Determinants can be computed along any row or column - choose the easiest!
3:43
44
Vector Spaces | Definition & Examples
8:11
45
The Vector Space of Polynomials: Span, Linear Independence, and Basis
12:50
46
Subspaces are the Natural Subsets of Linear Algebra | Definition + First Examples
6:26
47
The Span is a Subspace | Proof + Visualization
5:03
48
The Null Space & Column Space of a Matrix | Algebraically & Geometrically
10:41
49
The Basis of a Subspace
3:53
50
Finding a Basis for the Nullspace or Column space of a matrix A
9:45
Load more videos
