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Results
This 10-minute video lesson looks at Determinants: Finding the determinant of a ...
This 10-minute video lesson looks at Determinants: Finding the determinant of a 3x3 matrix.
Subject: Algebra Material Type: Lecture Provider: Khan Academy Provider Set: Khan Academy Author: Khan, Salman Date Added: 02/20/2011
This 22-minute video lesson shows another example of a projection matrix. It ...
This 22-minute video lesson shows another example of a projection matrix. It shows how to figure out the transformation matrix for a projection onto a subspace by figuring out the matrix for the projection onto the subspace's orthogonal complement first.
Subject: Algebra Material Type: Lecture Provider: Khan Academy Provider Set: Khan Academy Author: Khan, Salman Date Added: 02/20/2011
This 15-minute video lesson sees that orthonormal bases make for good coordinate ...
This 15-minute video lesson sees that orthonormal bases make for good coordinate systems.
Subject: Algebra Material Type: Lecture Provider: Khan Academy Provider Set: Khan Academy Author: Khan, Salman Date Added: 02/20/2011
This 3-minute video lesson is a correction of last video showing that ...
This 3-minute video lesson is a correction of last video showing that the determinant when one row is multiplied by a scalar is equal to the scalar times the determinant.
Subject: Algebra Material Type: Lecture Provider: Khan Academy Provider Set: Khan Academy Author: Khan, Salman Date Added: 02/20/2011
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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Material Type: Lecture Provider: Khan Academy Provider Set: Khan Academy Date Added: 02/20/2011
This 11-minute video lesson proves the "associative," "distributive," and "commutative" properties for ...
This 11-minute video lesson proves the "associative," "distributive," and "commutative" properties for vector dot products.
Subject: Algebra Material Type: Lecture Provider: Khan Academy Provider Set: Khan Academy Author: Salman Khan Date Added: 02/20/2011
This 27-minute video lesson shows that any member of Rn can be ...
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 Material Type: Lecture Provider: Khan Academy Provider Set: Khan Academy Author: Khan, Salman Date Added: 02/20/2011
This 7-minute video lesson gives an alternative (short cut) for calculating 3x3 ...
This 7-minute video lesson gives an alternative (short cut) for calculating 3x3 determinants (Rule of Sarrus).
Subject: Algebra 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 calculate a 4x4 determinant by ...
This 9-minute video lesson shows how to calculate a 4x4 determinant by putting in in upper triangular form first.
Subject: Algebra Material Type: Lecture Provider: Khan Academy Provider Set: Khan Academy Author: Khan, Salman Date Added: 02/20/2011
This 19-minute video lesson finds an orthonormal basis for a subspace using ...
This 19-minute video lesson finds an orthonormal basis for a subspace using the Gram-Schmidt Process.
Subject: Algebra 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 an upper triangular ...
This 8-minute video lesson looks at the determinant of an upper triangular matrix.
Subject: Algebra Material Type: Lecture Provider: Khan Academy Provider Set: Khan Academy Author: Khan, Salman Date Added: 02/20/2011
This 9-minute video lesson provides definitions of the vector dot product and ...
This 9-minute video lesson provides definitions of the vector dot product and vector length.
Subject: Algebra Material Type: Lecture Provider: Khan Academy Provider Set: Khan Academy Author: Salman Khan Date Added: 02/20/2011
This video shows that if V is a subspace of Rn, then ...
This video shows that if V is a subspace of Rn, then dim(V) + dim(V's orthogonal complement) = n
Subject: Algebra Material Type: Lecture Provider: Khan Academy Provider Set: Khan Academy Date Added: 02/20/2011
This 19-minute video lesson shows how to define the determinant for nxn ...
This 19-minute video lesson shows how to define the determinant for nxn matrices. And it provides an exampled of a 4x4 determinant.
Subject: Algebra Material Type: Lecture Provider: Khan Academy Provider Set: Khan Academy Author: Khan, Salman Date Added: 02/20/2011
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