Matrix Magic

The use of choice examples to show the practical application of matrix algebra and related mathematical tools in specific problems it serves also as an introduction to linear programming fluid mechanics vector analysis and rf cicuit design.The full workings and code are made available for the use and adaptation of the reader. Here we walk through examples of using linear algebra and matrices to solve problems like cost estimation we show how similar techniques are used in electrical theory and circuit design. We show how ballistics can predict the range of a football and the time of travel of a bullet. We see how we can generate 3d transforms of rotation and reflection of objects about general axes and mirrors. We look at the problem of signal rejection in transmission lines and give worked solutions.