Linear Algebra: Introduction to Vectors
Linear Algebra: Introduction to Vectors


khanacademy- Length: 16:31
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Lec 1 | MIT 18.06 Linear Algebra, Spring 2005
Lecture 1: The Geometry of Linear Equations. View the complete course at: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu


WildLinAlg1: Introduction to Linear Algebra
The first of a series of lectures on Linear Algebra meant for freshman university students. This course emphasizes the geometric content of the subject, along with applications. The first lecture introduces the main problem of Linear Algebra.


Lec 3 | MIT 18.06 Linear Algebra, Spring 2005
Lecture 3: Multiplication and Inverse Matrices. View the complete course at: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu


Lec 2 | MIT 18.06 Linear Algebra, Spring 2005
Lecture 2: Elimination with Matrices. View the complete course at: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu


Linear Algebra: Basis of a Subspace
Understanding the definition of a basis of a subspace


khanacademy- Length: 19:00
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- Tags: Linear Algebra Vectors span combination basis subspace
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Linear Algebra: Introduction to Linear Independence
Linear Algebra: Introduction to linear dependence and independence


khanacademy- Length: 15:46
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- Tags: Linear Algebra Vectors span combination
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Linear Algebra: Vector Examples
Visually understanding basic vector operations


khanacademy- Length: 25:33
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- Tags: Linear Algebra Vectors
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Lec 30 | MIT 18.06 Linear Algebra, Spring 2005
Lecture 30: Linear Transformations and Their Matrices. View the complete course at: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu


Linear Algebra: 3x3 Determinant
Determinants: Finding the determinant of a 3x3 matrix


khanacademy- Length: 10:01
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- Tags: determinant
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Basic Definitions of Linear Algebra #1
The Professor gives the definitions of a vector space, a linearly independent set, and a linearly dependent set. In the definition of linearly independent the condition should read \alpha_1=\alpha_2 = ... = \alpha_k =0$. He says this but does not write it on the board.


professorelviszap- Length: 5:04
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- Tags: Linear algebra Math College level math basic definitions advanced math
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Linear Algebra: Orthogonal Complements
Orthogonal Complements as subspaces.


khanacademy- Length: 22:08
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- Tags: orthogonal complement
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WildLinAlg6: Applications of 2x2 matrices
This is the 6th lecture in this course on Linear Algebra. We review matrix arithmetic for 2x2 matrices and compare the main laws with the simpler case of 1x1 matrices. Then we apply 2x2 matrices to study transformations of vectors, with examples including reflections, rotations and dilations. We ...


njwildberger- Length: 43:47
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- Tags: wildlinalg6 Linear algebra matrices Wildberger 2x2 rotations reflections vectors dilations matrix arithmetic
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Lec 21 | MIT 18.06 Linear Algebra, Spring 2005
Lecture 21: Eigenvalues and Eigenvectors. View the complete course at: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu


Lec 4 | MIT 18.06 Linear Algebra, Spring 2005
Lecture 4: Factorization into A = LU *Please note that there is not a higher quality version available. View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu


Linear Algebra: nxn Determinant
Defining the determinant for nxn matrices. An exampled of a 4x4 determinant.


khanacademy- Length: 18:40
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- Tags: determinant example
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Linear Algebra: Vector Triangle Inequality
Proving the triangle inequality for vectors in Rn


khanacademy- Length: 18:53
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- Tags: vector dot product length
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Linear Algebra: Change of Basis Matrix
Using a change of basis matrix to get us from one coordinate system to another.


khanacademy- Length: 17:55
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- Tags: change of basis matrix coordinate system
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Linear Algebra: Simpler 4x4 determinant
Calculating a 4x4 determinant by putting in in upper triangular form first.


khanacademy- Length: 9:13
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- Tags: linear algebra determinant
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Linear Algebra: The Gram-Schmidt Process
Finding an orthonormal basis for a subspace using the Gram-Schmidt Process


khanacademy- Length: 19:24
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- Tags: gram schmidt orthonormal
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