This 10-minute video lesson shows how to figure out a normal vector to a plane from its equation. [Linear Algebra playlist: Lesson 141 of 143]
This 13-minute video lesson shows how to calculate the null space of a matrix. [Linear Algebra playlist: Lesson 35 of 143]
This 12-minute video lesson discusses how to understand how the null space of a matrix relates to the linear independence of its column vectors. [Linear Algebra playlist: Lesson 36 of 143]
This 12-minute video lesson finds that the orthogonal complement of the orthogonal complement of V is V. [Linear Algebra playlist: Lesson 103 of 143]
This 11-minute video lesson shows that orthogonal matrices preserve angles and lengths. [Linear Algebra playlist: Lesson 129 of 143]
This 17-minute vidoe lesson shows proof of the Cauchy-Schwarz Inequality.
This 11-minute video lesson proves the "associative," "distributive," and "commutative" properties for vector dot products.
This 23-minute video lesson looks at Rowspace and Left Nullspace. [Linear Algebra playlist: Lesson 97 of 143]
This 9-minute video lesson provides definitions of the vector dot product and vector length.
This 19-minute video lesson proves the triangle inequality for vectors in Rn.
This 20-minute video lesson looks at the relationship between left nullspace, rowspace, column space and nullspace. [Linear Algebra playlist: Lesson 98 of 143]
This 14-minute video lesson provides an Introduction to linear transformations.
Showing that matrix products are associative. Created by Sal Khan.
This 10-minute video lesson provides part II of the introduction to mortgage-backed securities. [Core Finance playlist: Lesson 29 of 184]
This 9-minute video lesson provides more information on mortgage-backed securities. [Core Finance playlist: Lesson 30 of 184]
This 8-minute video lesson provides part I of the introduction to mortgage-backed securities. [Core Finance playlist: Lesson 28 of 184]
This lesson discusses how to identify sets of numbers as natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.
This site teaches Quantities to High Schoolers through a series of 116 questions and interactive activities aligned to 4 Common Core mathematics skills.
This site teaches The Complex Number System to High Schoolers through a series of 2195 questions and interactive activities aligned to 16 Common Core mathematics skills.
This site teaches The Real Number System to High Schoolers through a series of 1090 questions and interactive activities aligned to 8 Common Core mathematics skills.