[Worksheet] Matriks (Form 5)

1. 3 -1 + -6 7 worksheet 1 29. 3 2 -4 +2 -5 10
-2 5 4 -3 5 5 20
matriks 2 -2 6

S e l e s a i k an .

15. (-3 9) + (1 -7) - (8 -7)

2. -5 -2 - -8 -3 16. -2 0 3 + 4 -1 -2 30. 3 8 -12 -2 -3 -6
4 -4 4 3 3 12
34 94 1 -1 01

3. -5 + 9 - 2 17. (-8 5) - (-1 -2) + (3 7) 31. 1 -7 + 1 12 - -3
7 21 4 20 5
3 -1 -4

4. (-2 4) - (3 5) + (-5 7) 18. -1(5 -4 3) + 2(-1 -2 0) 32. 2 -5 - 3 -8 -2
5 15 4 16 -7

5. 2 1 -1 + 3 -1 0 19. -7 - -8 + 3 33. -1(3 -7 4) + 0.5(-4 -6 8)
03 -1 -2
4 2 -5

6. -1 2 -2 - 2 -1 1 20. -8 -5 - 0 -2 34. 0.6 5 - 0.4 20
-4 0 -3 4 40 76
10 30

7. 2 -1 + 3 2 - 5 21. -1 3 + 4 0 - 7 35. 3 30 - 0.5 18
5 -15 26
0 14 -2 1 5

8. (-7 3 6) - (0 -3 5) 22. 5 -2 + -8 6 36. 1 4 -8 -1 -2 0
-2 4 5 -9 0 -4 2 4 10
4

9. -7 -4 - -2 -1 23. -7 + 11 - 5 37. 3 02 +2 50
2 -2 -4 5 10 -5
5 -1 20 0 -3 -2

10. (-3 5) + (-1 1) - (0 8) 24. 0.5 4 + 0.1 10 - -1 38. 0.5 6 - 0.2 20 + -2

-2 30 3 -4 40 -1

11. 2 1 -1 + 3 -1 0 25. 1 8 20 +1 -3 9 39. 4 -3 + -1 7
4 12 -4 3 -6 15
03 -1 -2 -2 5 3 -11

12. -1 3 2 - 3 0 -1 26. 1 4 -10 -1 -10 20 40. 3 -1 - 4 0 + -2
2 -2 6 5 -5 15
-1 1 20 1 -2 -4

13. -2(-1 3 -4) - 3(1 -2 5) 27. 1 (-4 2 -8) - (5 -2 3) 41. 2 -2 -1 + 3 1 -1
2
13 2 -2

14. (-7 3) - (2 5) + (-4 8) 28. 0.2(-5 10) - 0.25(8 24) 42. -9 - -6

75

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worksheet 2

matriks

S e l e s a i k an .

1. 2 0 1 -2 15. (-2 4) 1 -2 29. (2 3) 43. 5 2 10
2 -3 01
-1 3 2 -3 -3 7

2. -1 1 -2 3 16. (3 -2) 0 4 30. (-1 1) 44. 9 -4

20 1 -1 -1 -2 3 -2

3. 5 2 0 -1 17. (-5 -1) 3 1 31. (3 7) 45. 7 -1 2 0
1 -2
-1 3 20 1 5 -1 -1

4. -2 -1 -2 -3 18. (-4 2) -1 3 32. (0 -5) 46. (-2 5)

30 42 -2 1

5. 4 -2 -1 -1 19. (-3 -1) 0 -2 33. (1 4) 47. (1 -4) 2 -2
34. (2 7)
0 2 30 5 -3 -1 0

6. -3 0 -1 2 20. (1 -4) 2 -2 48. (3 -2)
-2 1
51 -1 0

7. 2 -1 1 -2 21. (3 0) 1 -1 35. (4 -7) 49. 5 -2 10
01
0 3 4 -1 -2 2 -1 -3

8. 4 -1 22. (2 1) 36. 4 -2 10 50. -5 3
32
20 -1 0 2 -2

9. 2 -3 23. (-2 4) 37. 0 -1 51. 4 -2 10
01
1 -1 2 -1 -7 5

10. -1 0 24. (-3 5) 38. 1 -1 3 -1 52. (7 -3)

52 1 0 0 -2

11. 3 -1 25. (-2 -1) 39. (-4 2) 53. (2 -9) 1 0

20 01

12. 5 -2 26. (6 -4) 40. (-1 0) 3 -2 54. (1 -1)

1 -1 1 -1

13. -3 -4 27. (-3 -2) 41. (2 -5) 55. 3 -4 10
01
20 -2 7

14. -5 -3 28. (1 -5) 42. 0 -2 3 -1 56. (1 1)
50
1 -1 -1 1

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worksheet 3

matriks

Cari matriks songsang bagi setiap yang berikut.

1. A= -2 2 8. H= -2 -1 15. Q= -2 -2 22. X= -2 -6
-1 3 -3 4 -1 4 -1 -3

2. B= -4 -3 9. J= -2 -1 16. R= 4 3 23. Y= -7 5
20 -8 -4 -2 -1 -2 1

3. C= 5 -3 10. K= 20 17. S= 3 -4 24. Z= -4 -2
-1 2 -5 -3 -6 8 53

4. D= -2 5 11. L= -4 -1 18. T= -1 2 25. A= -2 2
3 0 -2 -3 5 2 -1 1

5. E= -2 6 12. M = 7 -1 19. U = 3 -1 26. B= -1 -2
1 -3 5 -1 21 22

6. F= -3 5 13. N= 3 -2 20. V= -5 -4 27. C= 4 -2
-1 -1 -9 6 73 -3 1

7. G = 4 5 14. P= -3 7 21. W = 6 -2 28. D= 7 -4
2 3 0 2 20 -3 2

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worksheet 4 [1]

matriks 2x + 3y = -8
3x + 2y = -12
Cari nilai x dan y dengan menggunakan kaedah matriks.

1. 3x + y = 7 10. 5x - 3y = -2 19. 3x + 2y = 21 28.

2x - y = 3 -5x + y = 4 2x - y = 7

2. x + y = 12 11. 4x - 3y = 0 20. 8x + 3y = 27 29. 4x - y = 5

x-y=2 -4x + y = -8 2x - 5y = 1 2x + y = -2

3. 8x + 3y = 8 12. 8x + 7y = 7 21. 9x + 2y = -9 30. -8x + 3y = 24

5x - 3y = 5 10x - 7y = -7 18x - 5y = -18 2x + 3y = 9

4. 11x + 3y = 5 13. 3x + 2y = 12 22. 3x + 2y = 13 31. 5x - 4y = 4

7x - 3y = 13 2x + y = 7 2x + 3y = 7 -x + 2y = -2

5. 8x + 6y = 2 14. 6x - y = -4 23. 11x - 3y = 8 32. 3x + 8y = 24

2x - 6y = 3 3x - 2y = 1 9x + 4y = 13 x+y=3

6. 5x + 2y = 9 15. 5x - y = 17 24. 6x - 3y = 3 33. 4x + y = 13

2x + 2y = 6 2x + 3y = 0 5x - 2y = 4 3x + 2y = 16

7. 4x + 3y = 11 16. 4x + 2y = 8 25. 4x - 2y = 0 34. -2x + y = -1

4x + 5y = 13 x + 3y = 2 5x + 3y = -11 -x + y = 2

8. 10x + y = 34 17. 5x - 4y = 7 26. 5x - 3y = 1 35. 3x + 2y = 7

2x + y = 10 7x - 2y = 17 4x + 2y = 14 4x - y = 13

9. x + 3y = 10 18. 5x + 3y = 24 27. 2x + 3y = 5 36. 4x + 3y = -6

x - y = -2 x + 5y = -4 3x - 2y = 1 x + 2y = 1

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worksheet 4 [2]

matriks 2x - 1 y = 4
3
Cari nilai x dan y dengan menggunakan kaedah matriks.
4x - y = 9
37. 4x + y = -14 41. x + 3y = 6 45. 2x - 1 y = 5 49.

x- 1 y=1 2 x - y = -11 3
2 3 3x + y = 3

38. 2x + 1 y = 16 42. x - 2 y = 6 46. 2x + 1 y = 5 50. 3x - 5y = -3

2 5 2 1 x - 2y = -4
5x - y = 49 2x + y = -6 3x - y = 18 2

39. x - 1 y = 2 43. 3x - 1 y = 1 47. 1 x - 2y = 2 51. 1 x - 2y = 11

4 2 2 2
4x + 3y = 56 x + 2y = 9 3x - 8y = 10 3x + 4y = -14

40. 1 x + 3y = -3 44. 2x - 2 y = 2 48. x - 2y = 7 52. x + 3y = 3

3 3 2x - 2 y = 9 2x-y=5
2x - 9y = 36 6x - 3y = 8 3 3

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worksheet 5 [1]

penyelesaian persamaan linear serentak 2x + y = 7
3x - y = 3
Cari nilai x dan y tanpa guna kaedah matriks.

1. x + 2y = 8 10. x - 3y = 2 19. 2x + y = 1 28.

x+y=3 -x + y = 4 x+y=3

2. x + 3y = 10 11. x + 3y = -4 20. -x + y = 9 29. 4x - y = 5

x+y=2 -x + y = -8 3x + y = 1 -2x + y = 3

3. x + 5y = 6 12. -x + 5y = 7 21. -2x + y = 10 30. -5x + y = 4

x + 3y = 2 x - 7y = 3 -4x + y = 2 2x - y = 5

4. x + 5y = 15 13. x + 2y = -7 22. -5x + y = -11 31. 3x - y = 4

x + 2y = 3 -x + 2y = -9 -2x + y = 1 -x + y = -2

5. x + 6y = 7 14. -x - y = -5 23. -x + y = 7 32. x + y = 9

x+y=2 x-y=1 2x + y = 13 x-y=3

6. -x + 2y = 4 15. x - 2y = 2 24. -x - y = 6 33. 2x - y = 11

-x - y = -2 -x + 3y = 1 x - y = -4 x + y = -5

7. -x - 2y = -3 16. -x + 2y = 8 25. 3x - y = 2 34. -x + y = -3

-x - 5y = 3 x + 3y = 7 5x - y = 6 -x - y = 9

8. -x - 7y = 8 17. x - y = 7 26. 5x - y = 3 35. 3x + y = 5

-x - 3y = -8 -x - 2y = 8 4x - y = 6 -4x - y = -8

9. -x + 3y = -12 18. -x + 4y = -1 27. 6x - y = 8 36. 3x - y = 7

-x - 2y = 8 x + 2y = -5 3x - y = -1 x+y=9

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worksheet 5 [2]

penyelesaian persamaan linear serentak 3x + 2y = 8
3x - y = -4
Cari nilai x dan y tanpa guna kaedah matriks.

37. 2x + 2y = 7 46. x - 3y = -2 55. 2x + y = 3 64.

2x + y = 3 -2x + 3y = 5 2x + 3y = 5

38. 3x + 3y = 10 47. 2x - 3y = -4 56. -x - 2y = 7 65. 4x - 2y = 5

-3x + y = 2 2x + y = -8 3x + 2y = 1 -2x + 2y = 3

39. -2x + 5y = 8 48. -3x + 5y = 7 57. -3x - y = 5 66. -5x + 3y = 2

-2x + 3y = 2 3x - 7y = 3 -3x + 2y = -4 5x - y = -8

40. 3x + 2y = 8 49. 3x + 2y = -5 58. x + 2y = -9 67. 3x - 2y = 2

-x - 2y = 6 -x + 2y = -1 3x - 2y = 1 -x - 2y = -2

41. 4x - 3y = 5 50. -2x - 2y = -7 59. -3x + 4y = 7 68. 3x + 4y = 9

x + 3y = 5 2x - y = 1 -3x + y = 13 x - 4y = 3

42. -2x + 2y = 9 51. 4x + 3y = 8 60. -x - 2y = 6 69. 2x - 3y = 11

2x - y = -3 -x + 3y = 3 3x + 2y = -4 -2x + y = -5

43. -3x - 2y = -3 52. -3x - 4y = 8 61. 3x - 2y = 2 70. -3x + 3y = -5

-3x - 5y = 3 x + 4y = -6 5x - 2y = 6 -3x - y = 3

44. 2x - 3y = 8 53. 2x - 4y = 3 62. 4x - 2y = 3 71. x + 3y = 5

-x + 3y = -4 -x - 4y = 9 4x - y = 6 -2x - 3y = -8

45. 2x + y = -7 54. -3x + 4y = -7 63. 6x - 2y = 7 72. 4x - 3y = -1

2x - 2y = -1 3x + 2y = 1 3x - 2y = -2 -4x + y = 5

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worksheet 5 [3]

penyelesaian persamaan linear serentak

Cari nilai x dan y tanpa guna kaedah matriks.

73. 2x + 3y = 6 82. 2x + 4y = 11 91. 3x + 2y = 21 100. 3x + 2y = 13

4x - 6y = -4 6x + 2y = 3 2x - y = 7 2x + 3y = 7

74. 2x - y = 7 83. -2x + 3y = 8 92. 8x + 3y = 27 101. 11x - 3y = 8

3x + 2y = 0 3x - y = -5 2x - 5y = 1 9x + 4y = 13

75. 3x - y = 4 84. -x + 3y = 11 93. 9x + 2y = -9 102. 6x - 3y = 3

7x + 9y = 32 4x - y = -11 18x - 5y = -18 5x - 2y = 4

76. x + y = 4 85. 3x + 2y = 12 94. 3x + 2y = 7 103. 4x - 2y = 0

-3x + 5y = 14 2x + y = 7 4x - y = 13 5x + 3y = -11

77. 3x + 4y = 10 86. 6x - y = -4 95. 4x + 3y = -6 104. 5x - 3y = 1

-6x + 3y = -9 3x - 2y = 1 x + 2y = 1 4x + 2y = 14

78. 5x - 4y = 4 87. 5x - y = 17 96. 2x + 3y = 8 105. 2x + 3y = 5

-x + 2y = -2 2x + 3y = 0 3x + 2y = 7 3x - 2y = 1

79. 3x + 8y = 24 88. 4x + 2y = 8 97. 2x + 4y = -12 106. 3x + 2y = 12

x+y=3 x + 3y = 2 3x + 5y = -16 5x - 3y = 1

80. x + 2y = 1 89. 5x - 4y = 7 98. 7x + 4y = -5 107. 3x + 2y = 12

2x + 7y = -4 7x - 2y = 17 -2x + 5y = 26 5x - 3y = 1

81. 4x + y = 13 90. 5x + 3y = 24 99. 6x + 5y = 28 108. 2x + 3y = -8

3x + 2y = 16 x + 5y = -4 7x + 2y = 2 3x + 2y = -12

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