
Overview of the Intermediate Value Theorem, the Extreme Value Theorem and the Mean Value Theorem.
- Subject:
- Algebra
- Mathematics
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Provider Set:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 02/28/2018
Overview of the Intermediate Value Theorem, the Extreme Value Theorem and the Mean Value Theorem.
This 14-minute video lesson provides an Introduction to linear transformations.
This 19-minute video lesson shows how to define the determinant for nxn matrices. And it provides an exampled of a 4x4 determinant.
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).
This 9-minute video lesson shows how to calculate a 4x4 determinant by putting in in upper triangular form first.
This 20-minute video lesson shows how to view the determinant of the transformation matrix as a scaling factor of regions.
This 22-minute video lesson looks at orthogonal Complements as subspaces.
This 13-minute video lesson uses Gram-Schmidt to find an orthonormal basis for a plane in R3.
This video shows that if V is a subspace of Rn, then dim(V) + dim(V's orthogonal complement) = n
This video shows that orthogonal matrices preserve angles and lengths
Sal discusses the conditions of matrix dimensions for which addition or multiplication are defined. Created by Sal Khan.