CK-12-Pre-Calculus Concepts

http://www.ck12.org Chapter 8. Systems and Matrices

8.4 Matrix Algebra

Here you will add, subtract and multiply matrices. As a result you will discover the algebraic properties of matrices.
Algebra refers to your ability to manipulate variables and unknowns based on rules and properties. Matrix algebra
is extremely similar to the algebra you already know for numbers with a few important differences. What are these
differences?

Watch This

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/61448

http://www.youtube.com/watch?v=iNty4CSFIpU James Sousa: Matrix Addition, Subtraction, and Scalar Multipli-
cation

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/61450

http://www.youtube.com/watch?v=6Hmzu-WKCjc James Sousa: Matrix Multiplication

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/61452

http://www.youtube.com/watch?v=C7Dc414qmlk James Sousa: Matrix Multiplication on the Calculator

Guidance

Two matrices of the same order can be added by summing the entries in the corresponding positions.
[1 2 3

4 5 6

]

+

[6 5 4

3 2 1

]

=

[7 7 7

7 7 7

]