Vectors and spaces | Linear Algebra | Khan Academy
5.0
(2)
24 learners
What you'll learn
This course includes
- 10.3 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 41 lessons • 10.3 hours of video
Vectors and spaces | Linear Algebra | Khan Academy
41 lessons
• 10.3 hours
Vectors and spaces | Linear Algebra | Khan Academy
41 lessons
• 10.3 hours
- Matrices: Reduced row echelon form 3 | Vectors and spaces | Linear Algebra | Khan Academy12:08
- Matrices: Reduced row echelon form 1 | Vectors and spaces | Linear Algebra | Khan Academy17:43
- Matrices: Reduced row echelon form 2 | Vectors and spaces | Linear Algebra | Khan Academy07:37
- Vector triple product expansion (very optional) | Vectors and spaces | Linear Algebra | Khan Academy14:25
- Normal vector from plane equation | Vectors and spaces | Linear Algebra | Khan Academy09:58
- Point distance to plane | Vectors and spaces | Linear Algebra | Khan Academy12:12
- Distance between planes | Vectors and spaces | Linear Algebra | Khan Academy14:45
- Defining the angle between vectors | Vectors and spaces | Linear Algebra | Khan Academy25:11
- Proof: Relationship between cross product and sin of angle | Linear Algebra | Khan Academy18:09
- Matrix vector products | Vectors and spaces | Linear Algebra | Khan Academy21:10
- Adding vectors | Vectors and spaces | Linear Algebra | Khan Academy07:12
- Span and linear independence example | Vectors and spaces | Linear Algebra | Khan Academy16:53
- Unit vector notation | Vectors and spaces | Linear Algebra | Khan Academy07:59
- More on linear independence | Vectors and spaces | Linear Algebra | Khan Academy17:38
- Showing relation between basis cols and pivot cols | Linear Algebra | Khan Academy08:33
- Showing that the candidate basis does span C(A) | Vectors and spaces | Linear Algebra | Khan Academy13:40
- Introduction to linear independence | Vectors and spaces | Linear Algebra | Khan Academy15:46
- Visualizing a column space as a plane in R3 | Vectors and spaces | Linear Algebra | Khan Academy21:11
- Dimension of the column space or rank | Vectors and spaces | Linear Algebra | Khan Academy12:48
- Vector triangle inequality | Vectors and spaces | Linear Algebra | Khan Academy18:53
- Linear combinations and span | Vectors and spaces | Linear Algebra | Khan Academy20:35
- Defining a plane in R3 with a point and normal vector | Linear Algebra | Khan Academy13:53
- Vector dot product and vector length | Vectors and spaces | Linear Algebra | Khan Academy09:10
- Multiplying a vector by a scalar | Vectors and spaces | Linear Algebra | Khan Academy05:44
- Proof: Any subspace basis has same number of elements | Linear Algebra | Khan Academy21:35
- Null space and column space basis | Vectors and spaces | Linear Algebra | Khan Academy25:13
- Dimension of the null space or nullity | Vectors and spaces | Linear Algebra | Khan Academy13:59
- Vector intro for linear algebra | Vectors and spaces | Linear Algebra | Khan Academy05:49
- Parametric representations of lines | Vectors and spaces | Linear Algebra | Khan Academy24:46
- Introduction to the null space of a matrix | Vectors and spaces | Linear Algebra | Khan Academy10:23
- Real coordinate spaces | Vectors and spaces | Linear Algebra | Khan Academy06:21
- Cross product introduction | Vectors and spaces | Linear Algebra | Khan Academy15:47
- Linear subspaces | Vectors and spaces | Linear Algebra | Khan Academy23:29
- Null space 2: Calculating the null space of a matrix | Linear Algebra | Khan Academy13:07
- Proof of the Cauchy-Schwarz inequality | Vectors and spaces | Linear Algebra | Khan Academy16:55
- Vector examples | Vectors and spaces | Linear Algebra | Khan Academy25:33
- Proving vector dot product properties | Vectors and spaces | Linear Algebra | Khan Academy10:45
- Column space of a matrix | Vectors and spaces | Linear Algebra | Khan Academy10:40
- Dot and cross product comparison/intuition | Vectors and spaces | Linear Algebra | Khan Academy19:14
- Null space 3: Relation to linear independence | Vectors and spaces | Linear Algebra | Khan Academy11:35
- Basis of a subspace | Vectors and spaces | Linear Algebra | Khan Academy19:00
