Page 442 - Schaum's Outline of Theory and Problems of Signals and Systems
P. 442

APP.  A]                     REVIEW OF MATRIX THEORY                                 429




              5.  The  idenrity  (or  unit) matrix I  is  a  diagonal  matrix with  all of  its  diagonal  elements
                  equal to 1.











            B.  Operations:
                 Let A = [aijlmxn, = [biilmxn, and C = [C~~I,,,.
                                  B
                a.  Equality of Two Matrices:
                                                    A= B=,a..=b..
                                                              IJ   11
                b.  Addition:

                                                C = A + B =s  cij = aij + bij

                c.  Multiplication by a Scalar:
                                                   B = aA =s  bij = aaij

                   If  a = - 1, then B = - A is called the negative of  A.

            EXAMPLE A.l  Let





            Then











            Notes:

                  1.
                 2.
                  3.
                 4.
                  5.
                 6.
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