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Linear Algebra
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Linear Algebra
English
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Introduction to matrices
Resources
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Playlist (50 of 144 videos)
Playlist (50 of 144 videos)
1
Introduction to matrices
11:51
2
Matrix multiplication (part 1)
13:41
3
Matrix multiplication (part 2)
14:37
4
Idea behind inverting a 2x2 matrix | Matrices | Precalculus | Khan Academy
14:15
5
Classic video on inverting a 3x3 matrix part 1 | Matrices | Precalculus | Khan Academy
16:45
6
Classic video on inverting a 3x3 matrix part 2 | Matrices | Precalculus | Khan Academy
13:36
7
Matrices to solve a system of equations | Matrices | Precalculus | Khan Academy
16:33
8
Matrices to solve a vector combination problem | Matrices | Precalculus | Khan Academy
14:20
9
Singular matrices | Matrices | Precalculus | Khan Academy
14:27
10
3-variable linear equations (part 1)
8:02
11
Solving 3 Equations with 3 Unknowns
15:26
12
Linear Algebra: Introduction to Vectors
16:31
13
Vector examples | Vectors and spaces | Linear Algebra | Khan Academy
25:33
14
Parametric representations of lines | Vectors and spaces | Linear Algebra | Khan Academy
24:46
15
Linear combinations and span | Vectors and spaces | Linear Algebra | Khan Academy
20:35
16
Introduction to linear independence | Vectors and spaces | Linear Algebra | Khan Academy
15:46
17
More on linear independence | Vectors and spaces | Linear Algebra | Khan Academy
17:38
18
Span and linear independence example | Vectors and spaces | Linear Algebra | Khan Academy
16:53
19
Linear subspaces | Vectors and spaces | Linear Algebra | Khan Academy
23:29
20
Basis of a subspace | Vectors and spaces | Linear Algebra | Khan Academy
19:00
21
Vector dot product and vector length | Vectors and spaces | Linear Algebra | Khan Academy
9:10
22
Proving vector dot product properties | Vectors and spaces | Linear Algebra | Khan Academy
10:45
23
Proof of the Cauchy-Schwarz inequality | Vectors and spaces | Linear Algebra | Khan Academy
16:55
24
Vector triangle inequality | Vectors and spaces | Linear Algebra | Khan Academy
18:53
25
Defining the angle between vectors | Vectors and spaces | Linear Algebra | Khan Academy
25:11
26
Defining a plane in R3 with a point and normal vector | Linear Algebra | Khan Academy
13:53
27
Cross product introduction | Vectors and spaces | Linear Algebra | Khan Academy
15:47
28
Proof: Relationship between cross product and sin of angle | Linear Algebra | Khan Academy
18:09
29
Dot and cross product comparison/intuition | Vectors and spaces | Linear Algebra | Khan Academy
19:14
30
Matrices: Reduced row echelon form 1 | Vectors and spaces | Linear Algebra | Khan Academy
17:43
31
Matrices: Reduced row echelon form 2 | Vectors and spaces | Linear Algebra | Khan Academy
7:37
32
Matrices: Reduced row echelon form 3 | Vectors and spaces | Linear Algebra | Khan Academy
12:08
33
Matrix vector products | Vectors and spaces | Linear Algebra | Khan Academy
21:10
34
Introduction to the null space of a matrix | Vectors and spaces | Linear Algebra | Khan Academy
10:23
35
Null space 2: Calculating the null space of a matrix | Linear Algebra | Khan Academy
13:07
36
Null space 3: Relation to linear independence | Vectors and spaces | Linear Algebra | Khan Academy
11:35
37
Column space of a matrix | Vectors and spaces | Linear Algebra | Khan Academy
10:40
38
Null space and column space basis | Vectors and spaces | Linear Algebra | Khan Academy
25:13
39
Visualizing a column space as a plane in R3 | Vectors and spaces | Linear Algebra | Khan Academy
21:11
40
Proof: Any subspace basis has same number of elements | Linear Algebra | Khan Academy
21:35
41
Dimension of the null space or nullity | Vectors and spaces | Linear Algebra | Khan Academy
13:59
42
Dimension of the column space or rank | Vectors and spaces | Linear Algebra | Khan Academy
12:48
43
Showing relation between basis cols and pivot cols | Linear Algebra | Khan Academy
8:33
44
Showing that the candidate basis does span C(A) | Vectors and spaces | Linear Algebra | Khan Academy
13:40
45
A more formal understanding of functions | Matrix transformations | Linear Algebra | Khan Academy
16:01
46
Vector transformations | Matrix transformations | Linear Algebra | Khan Academy
14:19
47
Linear transformations | Matrix transformations | Linear Algebra | Khan Academy
13:52
48
Matrix vector products as linear transformations | Linear Algebra | Khan Academy
17:04
49
Linear transformations as matrix vector products | Linear Algebra | Khan Academy
17:32
50
Image of a subset under a transformation | Matrix transformations | Linear Algebra | Khan Academy
18:11
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