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Linear Algebra: A Projection onto a Subspace is a Linear Transformation
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This 16-minute video lesson shows that a projection onto a subspace is a linear transformation. [Linear Algebra playlist: Lesson 110 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Example Using Orthogonal Change-of-basis Matrix to Find Transformation Matrix
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CC BY-NC-SA
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This 27-minute video lesson provides an example using the orthogonal change-of-basis matrix to find the transformation matrix. [Linear Algebra playlist: Lesson 128 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Expressing a Projection on to a Line as a Matrix Vector Prod
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CC BY-NC-SA
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This 17-minute video lesson shows how to express a projection on to a line as a Matrix Vector prod. [Linear Algebra playlist: Lesson 61 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra:  Finding Eigenvectors and Eigenspaces Example
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 15-minute video lesson shows how to find the eigenvectors and eigenspaces of a 2x2 matrix. [Linear Algebra playlist: Lesson 136 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Introduction to the Null Space of a Matrix
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 12-minute video lesson provides an introduction to the null space of a matrix and shows that the null space of a matrix is a valid subspace. [Linear Algebra playlist: Lesson 34 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Matrices: Reduced Row Echelon Form 1
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 18-minute video lesson shows how to solve a system of linear equations by putting an augmented matrix into reduced row echelon form. [Linear Algebra playlist: Lesson 30 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Matrices: Reduced Row Echelon Form 3
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 12-minute video lesson provides another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form. [Linear Algebra playlist: Lesson 32 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Null Space 3: Relation to Linear Independence
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 12-minute video lesson discusses how to understand how the null space of a matrix relates to the linear independence of its column vectors. [Linear Algebra playlist: Lesson 36 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Orthogonal Complement of the Orthogonal Complement
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 12-minute video lesson finds that the orthogonal complement of the orthogonal complement of V is V. [Linear Algebra playlist: Lesson 103 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra:  Orthogonal Matrices Preserve Angles and Lengths
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 11-minute video lesson shows that orthogonal matrices preserve angles and lengths. [Linear Algebra playlist: Lesson 129 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Proving Vector Dot Product Properties
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 11-minute video lesson proves the "associative," "distributive," and "commutative" properties for vector dot products.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011