Page 7 - Praktis Hebat 2021 - Mathematics F5
P. 7

Mathematics  Form 5  Practice 2 Matrices
              30.  Dimo’s Pizza  offers two types  of sets,  A and   RM5.  Antara yang berikut, yang manakah
                  B. Set A consists of 3 regular pizzas and 7 side   kaedah yang betul untuk mengira harga bagi
                  dishes while set B consists of 5 regular pizzas   set A, x dan set B, y?   PL 5
                  and 5 side dishes. A regular pizza costs RM12       x     3  7  12
                  while  a side dish costs RM5.  Which  of the   A  1 2 = 1 5  5 21 2
                                                                      y
                                                                                   5
                  following is the correct method to calculate the
                  price of set A, x and set B, y?                     x     12  3  7
                                                                            5
                                                                      y
                  Kedai Pizza Dimo menawarkan dua jenis set,     B  1 2 = 1 21 5   5 2
                  A dan B. Set A mengandungi  3 pizza biasa           x     3  5  12
                  dan  7 hidangan sampingan manakala set B       C  1 2 = 1 7  5 21 2
                                                                                   5
                                                                      y
                  mengandungi 5 pizza biasa dan 5 hidangan
                                                                                   5
                                                                            3
                                                                      x
                  sampingan. Sebiji pizza biasa berharga RM12    D  1 2 = 1 7  5 21 2
                  manakala satu hidangan sampingan berharga           y        5  12
                PAPER 2

               1.  (a)  Given that the determinant of the matrix   (b)  If P1 2 = 1  4
                                                                         –2
             textbook  1 4  5                                             f    –3g 2, determine the values of
             pp. 42 – 66  c  3 2 is 17. Find the value of c.
                      Diberi bahawa penentu bagi matriks             f and g.   PL 4    Subtopic  2.2
                                                                                  4
                                                                           –2
                      1 4  5 2 ialah 17. Cari nilai c.               Jika P1 2 = 1 2, tentukan nilai f dan g.
                                                                                 –3g
                                                                            f
                          3
                       c
                                                                                         [6 marks / markah]
                                           PL 3    Subtopic  2.2
                  (b)  Hence, by using the matrix method,
                      calculate  the values of  d and  e which
                      satisfy the following equation.
                      Seterusnya,  dengan    menggunakan
                      kaedah matriks, hitung nilai  d dan e                       –3 4
                      yang memenuhi persamaan matriks yang     3.  (a)  If matrix  Q is 1 5  2 2,  find  the  matrix  R
                                                                                   1 0
                      berikut.  PL 4    Subtopic  2.2        textbook  such that QR = 1 0 1  2.  PL 4    Subtopic  2.2
                                                             pp. 42 – 66
                                             7
                                      d
                               1 4  5 21 2 = 1 2                                       –3 4
                                       e
                                            11
                                c
                                   3
                                         [5 marks / markah]          Jika matriks Q ialah 1 5  2 2, cari matriks
                                                                                           1 0
                                                                     R dengan keadaan QR = 1 0 1 2.
                                                                 (b)  By using the matrix method, calculate the
                                                                     values of h and k which satisfy the following
                                                                     equation.  PL 5     Subtopic  2.2
                                                                     Dengan menggunakan kaedah matriks,
                                                                     hitung nilai h dan k yang memenuhi
                                                                     persamaan yang berikut.
                                1  3           3  –2                         –3 4   h     15
               2.  Given that N = 1 2 –1 2 and P = 1 –1  1  2.              1 5  2 21 2 = 1 2
                                                                                    k
                                                                                          1
             textbook
             pp. 42 – 66    1  3           3   –2                                        [6 marks / markah]
                  Diberi N = 1 2 –1 2 dan P = 1 –1  1  2.
                  (a)  Calculate 2N + P.   PL 4    Subtopic  2.2
                     Hitung 2N + P.


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     02 P Hebat MATH F5.indd   13                                                                  28/04/2021   5:29 PM
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