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Elementary Linear Algebra

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Linear Algebra: Proving Vector Dot Product Properties
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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
Linear Algebra: Representing Vectors in Rn Using Subspace Members
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CC BY-NC-SA
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This 27-minute video lesson shows that any member of Rn can be represented as a unique sum of a vector in subspace V and a vector in the orthogonal complement of V.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
02/20/2011
Preimage and Kernel Example
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CC BY-NC-SA
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This 15-minute video lesson gives an example involving the preimage of a set under a transformation. It also gives a definition of kernel of a transformation.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
02/20/2011
Solving linear systems with matrices
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Sal solves a linear system with 3 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form. Gaussian Elimination is the method, reduced row echelon is just the final result.

Subject:
Algebra
Mathematics
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/28/2018
Vector Addition
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CC BY-SA
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Addition of three Vectors, and displays resultant Vectors. Can drag the endPoints of the three different Vectors, but the resultant always starts at the origin.

Subject:
Geometry
Mathematics
Material Type:
Simulation
Provider:
GeoGebra
Provider Set:
GeoGebraTube
Date Added:
03/11/2012