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Example:Multiply the Matrices

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Explanation:

 

Matrix (mathematics)

 

Specific elements of a matrix are often denoted by a variable with two subscripts. For instance,a2,1 represents the element at the second row and first column of a matrix A.

In mathematics, a matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers, symbols, or expressions. The individual items in a matrix are called its elements or entries. An example of a matrix with six elements is

 

Matrix multiplication

 

Schematic depiction of the matrix product AB of two matrices A and B.

Multiplication of two matrices is defined only if the number of columns of the left matrix is the same as the number of rows of the right matrix. If A is an m-by-n matrix and B is an n-by-p matrix, then their matrix product AB is the m-by-p matrix whose entries are given by dot product of the corresponding row of A and the corresponding column of B:

where 1 ≤ i  m and 1 ≤ j  p. 

(Our solved example in mathguru.com uses this concept)

For example, the underlined entry 1 in the product is calculated as (1 × 1) + (0 × 1) + (2 × 0) = 1:

 

 

http://en.wikipedia.org/wiki/Matrix_(mathematics)

 

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.