Matricies

Matricies are groups of numbers that are done with a special set of rules. Matricies are usually in a set of large parenthesis. There are a few rules to solving matricies.

-Tranpose (means to switch rows and columns). Represented by a little floating t.
-To add matricies they must be the same dimensions. The deminsions of a matrix are (row * columns)
-To add matricies you add corresponding entries
-To complete scalar multiplication you multiply ever entry by the number. In other words multiply every number by the number you have to muliply by.

Ex1.Find the demensions of the following matrix then transpose.
{2 3 1}
{0 4 -1}
A.The demensions are 2*3. Two rows by three columns.
B.Transposed is {2 0}
{3 4}
{1 -1}
The demensions usually change once transposed. New demensions are 3*2

Ex2.Multiply the following matrix by 3.
{5 0}
{3 2}
A.Multiply each number by 3. {15 0}
{9 6}
Demensions do not change when multiplied by single number.