What does it mean for two vectors to be linearly independent? The resource presents the basics of basis vectors and linear combinations. The third video in the 15-part series provides a definition of linear independence in terms of the...

AI is so smart that it can finish people's sentences. The eighth installment of the Crash Course Artificial Intelligence series has pupils create a program that completes written sentences. They learn about tokenization, vectors, and...

Slide into vector transformations. Column vectors define the translation of figures by defining the number of units to move horizontally and vertically on the coordinate graph. Pupils develop an understanding of how to read the...

Column right! Using visual representations, a short video introduces the concept of column vectors. Next, the resource shows how adding two vectors end-to-end is simplified by adding the components in the column vector. The presentation...

Come in on a vector. A video introduces vector notation and basic definitions. Given a shortened version of representing the vector, the presenter shows how to add vectors algebraically. Using parallelograms and trapezoids, the resource...

Helicopters fly with the help of gyroscopic precession. An uplifting Vertasium video explains two common forces, momentum and torque. Demonstrations of both forces—along with scientific explanations—help develop an overall understanding...

You may have heard that, if you've had chicken pox, the shingles virus is already inside you. The bad news? It may not be alone! Introduce your microbiology class to some of the trickiest pathogens we know of in the 151st video in an...

Take the principles of vectors and apply them to other things that act like vectors. The last video in the series of 15 introduces the more abstract aspects of linear algebra, making the connection back to the vector concepts discussed...

Find vectors that stay on their spans after a linear transformation. The 14th video in the series of 15 introduces the concept of eigenvectors, vectors that are only scaled during a linear transformation. The presentation illustrates the...

Take a look at vectors as geometric objects and then as an algebraic concept. The second video in a series of 15 introduces the vector using three perspectives: the physics, computer science, and mathematical. The resource shows the...

Bring it all to three dimensions. The short video points out that the discussion in the previous presentations in two dimensions also holds true for three dimensions. The sixth video in the series of 15 specifically makes the...

Take a different view at matrix multiplication. Based on vector transformations, the video presents matrix multiplication as the result of the composition of multiple linear transformations. The presentation explains the numerical...

Are all transformations of the plane linear transformations? The video provides examples of transformations of the plane and provides the definition of linear transformations. The resource begins the discussion of using matrix...

Punt, pass, or kick your way to learning physics! An engaging lesson breaks down the mechanics of punting a football through an analysis of vectors. The ninth lesson of a video series explains the horizontal and vertical velocity...

Map the velocity of a thrown football using physics! Learners study vector addition using a football scenario. Two vectors model the movement of the receiver and quarterback while the resulting vector describes the velocity of the...

Physics can make football players better. A creative video shows learners how to apply the Pythagorean Theorem to defensive situations. The first of a 10-part video series calculates the distance a defender needs to cover using right...

Math tells us that it is impossible to comb a ball of hair. The 23rd video of an informative physics series helps learners understand the physics implications of this statement. Through an analysis of vectors, the video narrator...

Scholars learn about the basics of quantum computing, starting with Schrodinger's Cat through a video that explains the mathematics behind quantum computers, including the representation of quantum gates as matrices.

A vector contains magnitude and direction. The video and associated questions introduce the class to vectors that are made up of scalars and displacement. Pupils read more about vectors to find them in real life and how they are used in...