Khan Academy
Khan Academy: Application Problem With Graph
This video shows how to take a given equation in a word problem and create a table of (x,y) values that can be used to graph the equation. Once the table is graphed it demonstrates how to estimate a specific value on the graph in order...
Khan Academy
Khan Academy: Linear Algebra: Reduced Row Echelon Form 2
Video shows example of using matrices and reduced row echelon form to solve a system of 3 equations in 3 variables. This video also appears in the strand Algebra: Matrices. [7:37]
Khan Academy
Khan Academy: Linear Algebra: Reduced Row Echelon Form 2
Video shows example of using matrices and reduced row echelon form to solve a system of 3 equations in 3 variables. This video also appears in the strand Algebra: Matrices. [7:37]
Khan Academy
Khan Academy: Linear Algebra: Linear Transformation Examples: Rotations in R2
Video first shows visually that a rotation is a linear transformation. Shows how to construct a transformation matrix that will rotate a vector through a given angle. Shows both the general rotation matrix and an example of a rotation...
Khan Academy
Khan Academy: Linear Algebra: Transpose of a Vector
Video demonstrating that the dot product of two vectors is equivalent to the matrix product of the transpose of the first vector times the second vector. Uses this idea to show that the dot product of a matrix-vector product and another...
Khan Academy
Khan Academy: Biology: Hemoglobin
The transport system within the blood that helps ventilate the body. [14:34]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #4C
Video shows how to find the points of inflection of an unusal function by looking at a graph of the first derivative of the function. [4:24]
Khan Academy
Khan Academy: Linear Algebra: Matrix Condition for One to One Trans
Video first reviews what the null space is and how to solve for it using reduced row echelon form. Shows that any solution to the inhomogeneous system Ax = b will be the sum of a particular solution and a homogeneous solution. Extends...
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: Least Squares Approximation
A video lesson explaining the least squares approximation for otherwise unsolvable matrix equations. Presents the motivation for why the least squares approximation is useful. Derives the formula for finding the least squares...
Khan Academy
Khan Academy: Geometry: 45 45 90 Triangle Side Ratios
In this video tutorial [5:42], the instructor explains the ratio of the lengths of the sides in a 45-45-90 triangle using the Pythagorean theorem. Beginning of video concludes a discussion from a previous video on the ratio of the...
Khan Academy
Khan Academy: Algebra: Quadratic Formula (Proof)
Explains how to derive the quadratic formula by completing the square on the standard form of a quadratic equation. [7:34]
Khan Academy
Khan Academy: Linear Algebra: Invertible Change of Basis Matrix
A video lesson explaining how to convert between traditional Cartesian coordinates and coordinates with respect to a given basis by using an invertible change of basis matrix. Includes two concrete examples in R2. [13:34]
Khan Academy
Khan Academy: Biology: Electron Transport Chain
An in-depth discussion of the Electron Transport Chain. [17:16]
Khan Academy
Khan Academy: Algebra: Conic Sections: Iit Jee Circle Hyperbola Common Tangent 1
The first of five videos created to solve an IIT JEE problem concerning a tangent line that is common to both a circle and a hyperbola. In this video the circle and hyperbola are graphed and the instructor shows what the common tangent...
Khan Academy
Khan Academy: Linear Algebra: Image of a Subset Under a Transformation
Video shows an example of the image of a subset of a domain under a linear transformation. Example includes defining a triangle using vectors. [18:11]
Khan Academy
Khan Academy: Linear Algebra: Image of a Subset Under a Transformation
Video shows an example of the image of a subset of a domain under a linear transformation. Example includes defining a triangle using vectors. [18:11]
Khan Academy
Khan Academy: Proof (Part 1) Minimizing Squared Error to Regression Line
Video is the second of five related videos about deriving the formula for the least squares regression line. This video goes through the algebraic manipulation required at the begining of deriving the formula. [10:35]
Khan Academy
Khan Academy: Algebra: Addition Elimination Method 3
This video demonstrates how to solve a system of linear equations using the linear combination elimination method. Results in a dependent system. [5:05]
Khan Academy
Khan Academy: Statistics: Comparing Population Proportions 2
Video is the second of two parts to demonstrate an example using election statistics to compare the population proportions of the women and men who voted for a particular candidate. The first video showed how to calculate the mean and...
Khan Academy
Khan Academy: Linear Algebra: Showing That Inverses Are Linear
A video lesson that gives an in-depth, algebraic proof showing that the inverse of a linear transformation is also linear. [21:25]
Khan Academy
Khan Academy: Linear Algebra: Rule of Sarrus of Determinants
A video lesson presenting the Rule of Sarrus for finding the determinants of 3 x 3 matrices. The rule is derived algebraically and then used in a concrete example to find the determinant of a given 3 x 3 matrix. [7:18]
Khan Academy
Khan Academy: Statistics: One Tailed and Two Tailed Tests
Video expands on medical example from previous video and explains the difference between a one-tailed and two-tailed hypothesis test, when they would be used, and gives an example of calculating a one-tailed test. [6:34]
Khan Academy
Khan Academy: Algebra: Equation of a Line 2
This video demonstrates how to write a linear equation in slope-intercept form when given the slope and one point on the line. Practice problems available. [3:57]