Page 441 - Schaum's Outline of Theory and Problems of Signals and Systems
P. 441

Appendix A










                                 Review of Matrix Theory




          A.l  MATRIX NOTATION AND OPERATIONS
          A.  Definitions:

            1.  An  m X n  matrix A is a rectangular array of  elements having m  rows and  n  columns
                and is denoted as











                When  m = n, A is called a  square matrix of  order n.
            2.  A  1 x n  matrix is called an  n-dimensional  row vector:




                An  m x  1 matrix is called an m-dimensional  column uector:












            3.  A  zero  matrix 0 is a matrix  having all its elements zero.
            4.  A  diagonal matrix D is a square matrix in which all elements not on the main diagonal
                are zero:












                Sometimes the diagonal matrix D in  Eq. (A.4) is expressed as


                                                                      )
                                            D = diag(d,  d2     .  4
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