Home | About Mathguru | Advertisements | Teacher Zone | FAQs | Contact Us | Login

If you like what you see in Mathguru
Subscribe Today
For 12 Months
US Dollars 12 / Indian Rupees 600
Available in 20 more currencies if you pay with PayPal.
Buy Now
No questions asked full moneyback guarantee within 7 days of purchase, in case of Visa and Mastercard payment

Example:Multiply the Matrices

Post to:

Bookmark and Share



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:





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.