Khan Academy: Orthogonal Projections: Another Example of a Projection Matrix

A video lesson working another example for finding the projection of an arbitrary vector onto a specific subspace in R3. The basis of the subspace is a 3 x 2 matrix. Uses an alternate method for find the transformation matrix that...

A continuation of the video Limit Examples (Part 1), also from the Khan Academy. Addresses the case where the limit of a function is equal to infinity. Examples are explained both graphically and tabularly. [6:58]

A video lesson proving that the projection of a vector is actually the closest vector in the subspace to the original vector.

A video lesson showing what a projection onto a plane could look like. Illustrates that the newly derived definition of a projection holds true for projections onto subspaces other than lines.

This is a video lesson on using the least squares approximation to find the line of best fit for a set of points. Includes a concrete example dealing with a set of 4 points.

Sal dives in even deeper with a few more examples of exponential decay. Practice calculating k from half-life, and calculating initial mass. [7:21]

Video focuses on complex functions that require substantial simplification before determining the limit. Examples include a radical function and a trigonometric function. [15:02]

Video gives examples of vector addition, graphing vectors, multiplying vectors by a scalar and vector subtraction using vectors in R2 and extends to vectors in other dimensions. [25:33]

The final segment in the Khan Academy's series on function inverses. Similar to the previous video, this segment does another example for finding the inverse of a quadratic function. Again the instructor explains the need for restraints...

The video lesson from Khan Academy provides practice questions for the SAT. Watch Sal work through a harder Circle equations problem.