Tuesday, December 12, 2006

Matrix Multiplication +

There were four sheets handed out in class today which offer a wealth of practice on matrix multiplication, determinants, and inverses.

For Tuesday, homework is p.120-1 from the sheets handed out in class, #1a,2,3

If you want to check that your answers are correct, your TI calculator is a great friend for this!

Enter the dimensions and data of the first matrix (matrix -> edit -> A)
Enter the dimensions and data of the second matrix (matrix -> edit -> B)
Multiply the two of them together (matrix -> names -> A -> matrix -> names -> B -> enter)

Voila!

There are also examples worked out in detail on the sheets (in addition to the numerous questions done in class)

So, why are we doing this even though the calculator can do the work for us?
i) necessary skills to do other applications of matrices
ii) helpful when applying this to word problems
iii) if you have to multiply matrices which have variables instead of constant numbers, your calculator will not be up to the task (but you will!)

Presenting tomorrow:

The History of Pi
Triangle Centres
Creating a Sundial
The Mathematics of Gambling

On "stand-by" (should still be ready to present):

Number Systems
The Golden Ratio

Sunday, December 10, 2006

Matrix Multiplication



If you want some further notes on this topic you may find the following links helpful:

http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/tutorialsf1/frames3_1.html

http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/tutorialsf1/frames3_2.html

And here is a place you can actually make up your own problems and check the answers to them (for those of you who do not have TIs at home):

http://www.hostsrv.com/webmab/app1/MSP/quickmath/02/pageGenerate?site=quickmath&s1=matrices&s2=arithmetic&s3=basic#reply

Matrices: Addition, Scalar Multiplication





Fermat 2004 In-Class Solutions





Graphing in three Dimensions


Elimination/Substitution