In this lesson we talk about – Given a position vector, how to find its magnitude. – Given a position vector, how to find its direction (as a compass bearing).
In this tutorial we extend the position vectors concept to draw vectors in 3D, using unit vectors i, j, and k.
In this lesson we define unit vectors i and j as vectors moving along the x or y axis with a magnitude of 1. Then we define position vectors using unit vectors.
Today we discuss what scalar multiplication means for vectors, and we do some addition / subtraction examples combined with scalar multiplication.
Today we talk about how a vector can be broken down into its horizontal and vertical components. We also talk about how to find the magnitude and the bearing of a vector using Pythagoras theorem and trigonometry.
We introduce you guys what a vector quantity is (as opposed to scalar quantity), draw some examples of vectors (with magnitude and direction), and do a vector addition problem.
In this video we will explain some practical real life applications of Matrices using Leslie Matrices. The Leslie Matrix Model allows us to model the growth of the female portion of an animal population over time. E.g. find out the number of female rabbits after N years, based on what we know about the number …
In this simple Markov Chains tutorial, you learn about the transition matrix and states and how to use them to solve a simple problem.
In this tutorial we show you step by step how to tackle a difficult modelling and problem solving question involving linear transformations of curves. You will need knowledge of linear transformations of curves, as well as being familiar with quadratic equations in general (solving, finding x/y intercepts).
One of my subscribers e-mailed me this hard matrix equation to solve. I decided to make a video to help them do it. Had to rearrange the equation by using the distributive law, then a combination of multiplying by inverses at the front/back as well as matrix subtraction, then some substitution simultaneous equation solving.