exam review

matrix modelling

What will i be expected to do?

** do not do anything WITHOUT a calculator.
depend on your calc. **

Questions to expect.
1...... maybe 1 to 2 multiple choice and one longer answer.
(MATRIX OPERATIONS) -> add, subtract, multiply(scalar * multiplying it by one number ) , multiply (matrix multiplication -> one matrix times another one)

2.... TRANSITION MATRIX question
(switching behaviour over time)
** are always n by n (SQUARE)
** rows add up to 1.0 (use decimals)
Also - "initial condition matrices must be row matrices in the form 1 by n.
- set the one up by 1 by 3; then the changes in a 3 by 3.
to show stability.... times matrix a * b ... times them by 99(ex) to the power... then add one and if its the same number... then stability is reached.

3.... MATRIX MULTIPLICATION as a word problem
-> probably something like inventory problem.
-> remember to avoid nonsense calculations (answer has no meaning.)

4.....NETWORK/MATRIX question
-> (# of routes to plan, for instance, transportation)


Show the matrix operations to calculate the number of trails from one town to another passing through at most two other towns. Do not solve.

A + A squared + A cubed
direct + through one town + through 2 towns