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Mathematics  Form 5  Chapter 2  Matrices

                                                        (b)  The number of male and female participants of a
         2.1    Matrices                                    Mathematics Quiz are 16 and 12 respectively.
                                                        (c)  The table below shows the number of accidents
          A   Representing information from real            in three cities, X, Y and Z.
               situations in the form of matrices                                 Accidents
                                                                City
          1.  Matrix is a set of numbers arranged in rows and                 Car      Motorcycle
            columns to form a rectangular or a square array.      X           10           26
            For example,
                                                                  Y           11            8                                                                                                                         Chapter  2
                                columns                                       15           14
                                                                  Z
   Chapter  2
                                1 2 9
                       rows   3  4 7 8 4                Solution
                                                                                          4
                                                                         4 3
 Minion Pro 10pt =  1                                        60   40   15      60  48   55
 2        2.  Matrix is usually represented by capital letter   (a)   3 48  38  15  or  40  38  23
            and enclosed by bracket [  ] or (  ).            55   23   10      15  15   10
 Arial 8.5 pt =   1                                                    16
 2        3.  Row matrix is a matrix that has only one row.  (b)  [16   12]  or  3 4
            For example, A = [5  –2  11]                               12

 Kaedah Alternatif    4.  Column matrix is a matrix that has only one   (c)   3 10  26 4  3 10  11  15 4
                                                             11
                                                                   8   or
            column.                                          15   14      26    8   14
                            3
             For example, B =  3 4                         Try Question 1 in Try This! 2.1
                            35
          5.  Square  matrix is a matrix that has the same
            number of rows and columns.                  B   Determining the order of a matrix,
                                                              hence identifying certain elements in
             For example, C =  3 1  0 4                       a matrix
                            9 8
                                                          1.  The  order of a matrix is determined by the
          6.  Rectangular matrix is a matrix that has different   number of rows and columns of the matrix.
            number of rows and columns.

             For example, D =  3 16 8 –5 4                2.  Matrix with  m rows and  n columns has an
                                                            order of m × n and is read as “matrix m by n”.
                            –3 9 21
                                                            For example, matrix A =  3 1 2 9 4  has 2 rows
                                                                                  4 7 8
                   1                                        and 3 columns. Therefore, the order of matrix A
        Represent the following information in the form of   is 2 × 3.
        matrices.                                         3.  Each number in a matrix is  called an  element
                                                                                              th
        (a)  The table below shows the sales of stationery in a   of the matrix. The element located at the i  row
            school bookshop for March to May.               and  j  column of matrix  A can be represented
                                                                th
                                                            as a ij .
                                 Exercise   Drawing
                         Pen                                For example, for matrix
                                  book      paper                            1 2 9
              March       60        40       15                         A =  3  4 7 8 4 ,
               April      48        38       15             the element at the first row and 3  column, that
                                                                                       rd
                                                            is a 13  = 9.
               May        55        23       10
                                                          4.  a 13  is read as “a one three”.



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   02 Focus Math F5_E2021.indd   18                                                             18/02/2021   2:32 PM
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