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This 14-minute video lesson shows how to determine the equation for a …

This 14-minute video lesson shows how to determine the equation for a plane in R3 using a point on the plane and a normal vector.

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

This 25-minute video lesson introduces the idea of an angle between two …

This 25-minute video lesson introduces the idea of an angle between two vectors.

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

This 10-minute video lesson looks at what happens to the determinant when …

This 10-minute video lesson looks at what happens to the determinant when we perform a row operation.

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

This 13-minute video lesson looks at the determinant when a row is …

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

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

This 17-minute video lesson looks at the determinant when one matrix has …

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

This 22-minute video lesson realizes that the determinant of a 2x2 matrix …

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

This 20-minute video lesson shows how to view the determinant of the …

This 20-minute video lesson shows how to view the determinant of the transformation matrix as a scaling factor of regions.

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

This 14-minute video lesson shows the proof by induction that transposing a …

This 14-minute video lesson shows the proof by induction that transposing a matrix does not change its determinant.

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

This 9-minute video lesson shows how to find the determinant by going …

This 9-minute video lesson shows how to find the determinant by going along other rows or columns.

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

This 8-minute video lesson looks at the determinant of a matrix with …

This 8-minute video lesson looks at the determinant of a matrix with duplicate rows.

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

This video shows an example using orthogonal change-of-basis matrix to find transformation …

This video shows an example using orthogonal change-of-basis matrix to find transformation matrix

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

This 7-minute video lesson gives an example of finding the transformation matrix …

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

This 18-minute video lesson shows how to figure out the formula for …

This 18-minute video lesson shows how to figure out the formula for a 2x2 matrix. And it defines the determinant.

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

This 13-minute video lesson uses Gram-Schmidt to find an orthonormal basis for …

This 13-minute video lesson uses Gram-Schmidt to find an orthonormal basis for a plane in R3.

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

This 12-minute video lesson looks at sets and bases that are orthonormal …

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

This 3-minute video lesson looks at the orthogonal complement of the nullspace …

This 3-minute video lesson looks at the orthogonal complement of the nullspace and left nullspace.

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

This video shows how to find that the orthogonal complement of the …

This video shows how to find that the orthogonal complement of the orthogonal complement of V is V

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