## Monday, 13 August 2012

### Applications of Matrices

Prior to the activity, study the slides on matrices.

In groups of 4 or 5, research on the application of matrices in the real world and put up at least one relevant, good quality resource regarding how matrices are used.

Post (under comments) the link/ file for the resource and do a short summary (5 lines) on the application on the class blog. Be sure to acknowledge the source.

1. Computer graphics uses matrices both to represent objects and to calculate transformations of objects using affine rotation matrices to accomplish tasks such as projecting a three-dimensional object onto a two-dimensional screen, corresponding to a theoretical camera observation.

2. This comment has been removed by the author.

3. Matices is used in robotics in terms of cryptography as it makes use of large matrices to encode a message. Reverse matrix is then used to decoded it. This is done by the receiver. These are called the encoding matrix and decoding matrix respectively.

http://www.slideshare.net/aus_autarch/matrices-1

4. 2) Matrices Mechanics

It it a formulation of non-relativistic quantum mechanics in which  physical quantities are represented by matrices and matrix algebra is used to predict the outcome of physical measurements.

Werner Heisenberg contributed to science at the point that the old quantum physics was discovering the field littered with more and more stumbling blocks. He decided that quantum physics had to be re-thought from the ground up. In so doing he excised several items that were grounded in classical physics and its modeling of the macro world.

http://en.wikipedia.org/wiki/Heisenberg's_entryway_to_matrix_mechanics

5. Graph theory concerns the relationship among lines and points. A graph consists of some points and some lines between them. No attention is paid to the position of points and the length of the lines.