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Ch.8.5_MatrixOperations.notebook                            March 05, 2012


                        Chapter 8.5
                      Intro to Matrices
                    and Matrix Operations
        Vocab:
              Matrix ­ a rectangular array of numbers
              Dimensions ­ # of rows & columns in a matrix
              Element ­ individual entry in a matrix

         Matrices are "named"                         Element
         with a capital letter




                               3   4   1
                       A2x3 =  2   5   3
          Dimensions are written
          as row x column


                    Identify the following elements

        A12                        A23                 A11
Ch.8.5_MatrixOperations.notebook                           March 05, 2012


                 Matrix Operations
                 Addition/Subtraction
                        Matrices of the SAME SIZE can be
                        added or subtracted by adding 
                        corresponding elements

                    1  5                       ­2   3
            A3x2 =  2  2               B3x2 =   5  ­2
                    4  3                        0   1

                   1+­2   5+3
          A+B3x2 =  2+5   2+­2             A+B3x2 = 
                    4+0   3+1

                      Matrix Operations
                      Scalar Multiplication
                 Elements of a matrix can be multiplied
                 by a constant called a scalar

                                1  5
                        A3x2 =  2  2
                                4  3

                          1(3)  5(3)
                 3A3x2 =  2(3)  2(3)
                          4(3)  3(3)



                3A3x2 = 
Ch.8.5_MatrixOperations.notebook           March 05, 2012




                      Find the following
           2A + C = 



           C ­ D = 



           3B ­ 2D = 
Ch.8.5_MatrixOperations.notebook   March 05, 2012




                      Page 360
                      #1­18 all

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Ch.8.5 Matrix Operations

  • 1. Ch.8.5_MatrixOperations.notebook March 05, 2012 Chapter 8.5 Intro to Matrices and Matrix Operations Vocab: Matrix ­ a rectangular array of numbers Dimensions ­ # of rows & columns in a matrix Element ­ individual entry in a matrix Matrices are "named"  Element with a capital letter 3   4   1 A2x3 =  2   5   3 Dimensions are written as row x column Identify the following elements A12 A23 A11
  • 2. Ch.8.5_MatrixOperations.notebook March 05, 2012 Matrix Operations Addition/Subtraction Matrices of the SAME SIZE can be added or subtracted by adding  corresponding elements 1  5 ­2   3 A3x2 =  2  2 B3x2 =   5  ­2 4  3  0   1 1+­2   5+3 A+B3x2 =  2+5   2+­2 A+B3x2 =   4+0   3+1 Matrix Operations Scalar Multiplication Elements of a matrix can be multiplied by a constant called a scalar 1  5 A3x2 =  2  2 4  3 1(3)  5(3) 3A3x2 =  2(3)  2(3) 4(3)  3(3) 3A3x2 = 
  • 3. Ch.8.5_MatrixOperations.notebook March 05, 2012 Find the following 2A + C =  C ­ D =  3B ­ 2D = 
  • 4. Ch.8.5_MatrixOperations.notebook March 05, 2012 Page 360 #1­18 all