**Matrices** ** ****04/05/16**

**Matrixes** are one of the most important facest of mathematics, especially in relationship to **linear algebra**. A matrix is a rectangular **array of number**, with m rows and n columns. One can think of matrices as vectors with 2 dimensions of organization. Two matrixes can be added and subtracted from one another given that they are the same size, and they can be multiplied together if they have the number of columns of Ais equal to the number of rows of b

Matrix addition is very simple, one just adds up all of the of the common elements together. For example, if the Matrixes aand b have elements in [2,3], then they will be added up and placed in [2,3] in the final matrix c. A matrix can also be multiplied by a constant number c, such that c*Awill multiply all of the elements contained in Aby c.Matrixes can also be multiplied by each other, in which each column of matrix awill be cross produced to each row of matrix bto make a new matrix of c, which is as large as the common elements of both matrixes. A matrix can also be flipped to such that a matrix of m x nwill become one of n x m, and can be represented by the modificationAT