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:

    “It is not an exaggeration to say that play is as basic to your child’s total development as good food, cleanliness, and rest.”
    —Joanne E. Oppenheim (20th century)

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

    “It may seem strange that any road through such a wilderness should be passable, even in winter, when the snow is three or four feet deep, but at that season, wherever lumbering operations are actively carried on, teams are continually passing on the single track, and it becomes as smooth almost as a railway.”
    —Henry David Thoreau (1817–1862)