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This 13-minute video lesson looks at the determinant when a row is multiplied by a scalar.

Subject:
Algebra
Mathematics
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Lecture
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Author:
Khan, Salman
02/20/2011
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This 17-minute video lesson looks at the determinant when one matrix has a row that is the sum of the rows of other matrices (and every other term is identical in the 3 matrices).

Subject:
Algebra
Mathematics
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Lecture
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Author:
Khan, Salman
02/20/2011
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This 22-minute video lesson realizes that the determinant of a 2x2 matrix is equal to the area of the parallelogram defined by the column vectors of the matrix.

Subject:
Algebra
Mathematics
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Author:
Khan, Salman
02/20/2011
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This 20-minute video lesson shows how to view the determinant of the transformation matrix as a scaling factor of regions.

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Algebra
Mathematics
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Author:
Khan, Salman
02/20/2011
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This 14-minute video lesson shows the proof by induction that transposing a matrix does not change its determinant.

Subject:
Algebra
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Author:
Khan, Salman
02/20/2011
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This 9-minute video lesson shows how to find the determinant by going along other rows or columns.

Subject:
Algebra
Mathematics
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Author:
Khan, Salman
02/20/2011
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This 19-minute video lesson provides dot and cross product comparison and Intuition.

Subject:
Algebra
Mathematics
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Lecture
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Author:
Salman Khan
02/20/2011
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This 8-minute video lesson looks at the determinant of a matrix with duplicate rows.

Subject:
Algebra
Mathematics
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Author:
Khan, Salman
02/20/2011
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This video shows an example using orthogonal change-of-basis matrix to find transformation matrix

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Algebra
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02/20/2011
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This 7-minute video lesson gives an example of finding the transformation matrix for the projection onto a subspace with an orthonormal basis.

Subject:
Algebra
Mathematics
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Author:
Khan, Salman
02/20/2011
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This 18-minute video lesson shows how to figure out the formula for a 2x2 matrix. And it defines the determinant.

Subject:
Algebra
Mathematics
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Author:
Khan, Salman
02/20/2011
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This 13-minute video lesson uses Gram-Schmidt to find an orthonormal basis for a plane in R3.

Subject:
Algebra
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Author:
Khan, Salman
02/20/2011
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This 12-minute video lesson looks at sets and bases that are orthonormal -- or where all the vectors have length 1 and are orthogonal to each other.

Subject:
Algebra
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Author:
Khan, Salman
02/20/2011
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This 3-minute video lesson looks at the orthogonal complement of the nullspace and left nullspace.

Subject:
Algebra
Mathematics
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Author:
Khan, Salman
02/20/2011
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This video shows how to find that the orthogonal complement of the orthogonal complement of V is V

Subject:
Algebra
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02/20/2011
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This 22-minute video lesson looks at orthogonal Complements as subspaces.

Subject:
Algebra
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Author:
Khan, Salman
02/20/2011
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This video shows that orthogonal matrices preserve angles and lengths

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Algebra
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02/20/2011
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This 16-minute video lesson looks at projections onto subspaces with orthonormal bases.

Subject:
Algebra
Mathematics
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Author:
Khan, Salman
02/20/2011
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This 17-minute video lesson looks at projections onto subspaces.

Subject:
Algebra
Mathematics
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Author:
Khan, Salman
02/20/2011
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This 17-minute vidoe lesson shows proof of the Cauchy-Schwarz Inequality.

Subject:
Algebra
Mathematics
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Lecture
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