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Mr. Beat
How to End Racism
How do we end racism? I think I have a solution, and it first begins with knowing what the actual definitions of "racism" and "race" are. 1) Acknowledge race has no genetic basis, and was a term invented by one group people to justify...
Archaia Historia
The Religion that Shaped Ancient Iran
Long before Christianity or Islam there was another monotheistic religion that dominated ancient Persia. Today we'll examine and try to explain what exactly was Ancient Zoroastrianism
Visual Learning Systems
Exploring the Basics of Classification
In this video, we explore the concept of classification and how it helps us understand the vast diversity of living things on Earth. The video also traces the history of classification from Aristotle's early attempts to modern-day...
Let's Tute
Area of a Parallelograms
This session explains properties related to area of a parallelogram & Area of triangle there by using that knowledge to solve a problem. What we will learn : 1) Area of a Parallelogram 2) Area of a Triangle
Looking Glass Universe
Vectors make sense - Vector addition and basis vectors
Vectors may seem very difficult when youre first introduced to them, but I hope this video helps you see theyre not that scary! This is the start of a whole series of linear algebra, and I will cover vectors, the scalar product,...
Professor Dave Explains
Nucleic Acids: DNA and RNA
We've been hearing about DNA since the third grade, and we all know that it's a double helix with little ladder rungs. But now we are ready to understand this molecule on a more fundamental level, which will enable to us to understand...
Khan Academy
Khan Academy: Linear Algebra: Null Space and Column Space Basis
Video first gives examples of finding the column space and null space of a matrix. Shows how to determine if the column space is a basis. Gives an example of finding the basis of the column space if the column space is not already a...
Khan Academy
Khan Academy: Linear Algebra: Showing That the Candidate Basis Does Span C(a)
Video first reviews how to find the basis for the column space of a matrix using the reduced row echelon form. Proves that the basis for the column space using the reduced row echelon form method spans the column space. Uses this and the...
Khan Academy
Khan Academy: Linear Algebra: Introduction to Linear Independence
Video explains what linearly dependent vectors and linearly independent vectors are. Shows visual representations to help explain the concept and relates it to the span of the linear combination of the vectors. [15:46]
Khan Academy
Khan Academy: Linear Algebra: Alternate Basis Transformation Matrix Example Pt 2
Video continuing the example from the previous video where a transformation matrix with respect to an alternate basis was found given a transformation matrix with respect to the standard basis, an alternate basis and a change of basis...
Khan Academy
Khan Academy: Linear Algebra: Change Bases to Help Find a Transformation Matrix
Video showing how to change coordinate systems to make finding the transformation matrix with respect to the standard basis easier. First, a specific linear transformation is defined and the regular method for constructing the...
Khan Academy
Khan Academy: Linear Algebra: Alternate Basis Transformation Matrix Example
Video reviewing the relationship between transformation matrices with respect to different bases. Addresses manipulating the equation to write it in terms of the transformation matrix with respect to the standard basis. The relationship...
Khan Academy
Khan Academy: Linear Algebra: Representing Vectors in Rn Using Subspace Members
A video lesson showing a series of proofs that culminate in explaining that any member of Rn can be represented as a unique sum of a member of some subspace of Rn and a member of its orthogonal complement. Ideas included in the proof are...
Khan Academy
Khan Academy: Linear Algebra: Transformation Matrix With Respect to a Basis
Video discussing transformation matrices and how a vector is able to be mapped to the same resulting vector by using a transformation matrix with respect to the standard basis as well as one with respect to a different basis. Reviews how...
Khan Academy
Khan Academy: Linear Algebra: Visualizing a Column Space as a Plane in R3
Video reviews how to find a basis for the column space and talks about how to find it more efficiently using reduced row echelon form. Shows a visualization of the column space in R3 as a plane. Shows two methods to determine the...
Khan Academy
Khan Academy: Linear Algebra: Coordinates With Respect to a Basis
A video lesson showing that vectors in space can be defined by coordinates with respect to a basis. A concrete example is given for a vector in R2. Shows how the vector is defined in traditional Cartesian coordinates and then how it can...
Khan Academy
Khan Academy: Linear Algebra: Proof: Any Subspace Basis Has Same Number Elements
Video shows proof that any basis of a particular subspace has the same number of elements. Leads up to give the definition of dimension. This video also appears in the strand Algebra: Matrices. [21:25]
Khan Academy
Khan Academy: Linear Algebra: Basis of a Subspace
Video explains what a basis for a vector subspace is and its criteria: the vectors must span the subspace and be linearly independent. Also gives an informal definition of basis as the minimum set of vectors that spans the subspace....
Khan Academy
Khan Academy: Linear Algebra: Null Space and Column Space Basis
Video first gives examples of finding the column space and null space of a matrix. Shows how to determine if the column space is a basis. Gives an example of finding the basis of the column space if the column space is not already a...
Khan Academy
Khan Academy: Linear Algebra: Null Space and Column Space Basis
Video first gives examples of finding the column space and null space of a matrix. Shows how to determine if the column space is a basis. Gives an example of finding the basis of the column space if the column space is not already a...
Khan Academy
Khan Academy: Linear Algebra: Representing Vectors in Rn Using Subspace Members
A video lesson showing a series of proofs that culminate in explaining that any member of Rn can be represented as a unique sum of a member of some subspace of Rn and a member of its orthogonal complement. Ideas included in the proof are...
Khan Academy
Khan Academy: Linear Algebra: Visualizing a Column Space as a Plane in R3
Video reviews how to find a basis for the column space and talks about how to find it more efficiently using reduced row echelon form. Shows a visualization of the column space in R3 as a plane. Shows two methods to determine the...
Khan Academy
Khan Academy: Linear Algebra: Visualizing a Column Space as a Plane in R3
Video reviews how to find a basis for the column space and talks about how to find it more efficiently using reduced row echelon form. Shows a visualization of the column space in R3 as a plane. Shows two methods to determine the...
Khan Academy
Khan Academy: Linear Algebra: Proof: Any Subspace Basis Has Same Number Elements
Video shows proof that any basis of a particular subspace has the same number of elements. Leads up to give the definition of dimension. This video also appears in the strand Algebra: Matrices. [21:25]