Matrices

Dear Grade 12 students:

Skills and concepts learned in this unit:

Research competitive long-distance telephone plans Model and solve problems using technology to perform addition, substraction and scalar multiplication of matices Model and solve network problems using the network matrix A2 Model and solve transition problems Use sampling and transition matrices to predict how many customers would switch to your long-distance plan



Each entry in the matrix tells you the number of ways of going directly from the "row" city to the "column" city. Each element of tells you the number of ways of getting from the "row" city to the "column" city via an intermediate city. For example, if denotes the element of  in row X and column Y, then the WF-element of  is given (according to the rule for matrix multiplication) by  The right side of that expression is the number of ways of getting from W to F via W, B, F and T respectively.

So if you want the number of ways to go between two cities, either directly or with one stopover, you add the number of direct routes to the number with one stopover, and the matrix for that will be

Introduction to matrices media type="youtube" key="xyAuNHPsq-g" height="385" width="480"

Operations with matrices media type="youtube" key="EFApWAl3NJw?fs=1" height="385" width="480"

Multipling matrices

media type="youtube" key="sYlOjyPyX3g" height="385" width="480"

Transition matrix media type="youtube" key="uvYTGEZQTEs?fs=1" height="385" width="480"