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:

    The basic test of freedom is perhaps less in what we are free to do than in what we are free not to do. It is the freedom to refrain, withdraw and abstain which makes a totalitarian regime impossible.
    Eric Hoffer (1902–1983)

    An accurate charting of the American woman’s progress through history might look more like a corkscrew tilted slightly to one side, its loops inching closer to the line of freedom with the passage of time—but like a mathematical curve approaching infinity, never touching its goal. . . . Each time, the spiral turns her back just short of the finish line.
    Susan Faludi (20th century)

    There is a patent office at the seat of government of the universe, whose managers are as much interested in the dispersion of seeds as anybody at Washington can be, and their operations are infinitely more extensive and regular.
    Henry David Thoreau (1817–1862)