Matrix Representation - Basic Mathematical Operations

Basic Mathematical Operations

An m × n (read as m by n) order matrix is a set of numbers arranged in m rows and n columns. Matrices of the same order can be added by adding the corresponding elements. Two matrices can be multiplied, the condition being that the number of columns of the first matrix is equal to the number of rows of the second matrix. Hence, if an m × n matrix is multiplied with an n × r matrix, then the resultant matrix will be of the order m × r.

Operations like row operations or column operations can be performed on a matrix, using which we can obtain the inverse of a matrix. The inverse may be obtained by determining the adjoint as well.

Read more about this topic:  Matrix Representation

Famous quotes containing the words basic, mathematical and/or operations:

    Good shot, bad luck and hell are the five basic words to be used in a game of tennis, though these, of course, can be slightly amplified.
    Virginia Graham (b. 1912)

    The most distinct and beautiful statement of any truth must take at last the mathematical form.
    Henry David Thoreau (1817–1862)

    Plot, rules, nor even poetry, are not half so great beauties in tragedy or comedy as a just imitation of nature, of character, of the passions and their operations in diversified situations.
    Horace Walpole (1717–1797)