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Past Year SPM Questions: (Matrices Paper 2)

1. The value of k is 2. Using matrices, the values of x and y that satisfy the given simultaneous linear equations are 5 and 4. 2. The inverse of the given matrix is calculated. Using matrices, the values of x and y that satisfy the given simultaneous linear equations are -4 and 3. 3. The values of m and p are calculated. Using matrices, the values of x and y that satisfy the given simultaneous linear equations are 7 and 2. 4. The matrix P is calculated. Using matrices, the values of x and y that satisfy the given simultaneous linear equations are 2 and -3.

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3K views4 pages

Past Year SPM Questions: (Matrices Paper 2)

1. The value of k is 2. Using matrices, the values of x and y that satisfy the given simultaneous linear equations are 5 and 4. 2. The inverse of the given matrix is calculated. Using matrices, the values of x and y that satisfy the given simultaneous linear equations are -4 and 3. 3. The values of m and p are calculated. Using matrices, the values of x and y that satisfy the given simultaneous linear equations are 7 and 2. 4. The matrix P is calculated. Using matrices, the values of x and y that satisfy the given simultaneous linear equations are 2 and -3.

Uploaded by

Omar Danni Ahmad
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOC, PDF, TXT or read online on Scribd
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Past Year SPM Questions (Matrices Paper 2)

Given that the inverse matix of A = 


3 1
1.  does not exist
6 k
a) Find the value of k
b) Write the following simultaneous linear equations as a matrix equation.
3x – 2y = 7
5x – 4y = 9
Hence, calculate the values of x and y using matrices.

( 6 marks )

 2 3
2. a) Find the inverse matrix of   .
 5 6
b) Using matrices, calculate the value of x and of y that satisfy the following
simultaneous linear equations:
2x  3 y  1
5x  6 y   2
( 6 marks )

3  4  6 p
3. a) The inverse matrix of   is m   , find the value of m and of p.
5  6  5 3 

b) Using matrices, calculate the value of x and of y that satisfy the following
simultaneous linear equations.
3x – 4y = -1
5x – 6y = 2
( 6 marks )

1  2 1 0
4. P is a 2 x 2 matrix such that   P   
 3 4  0 1
a) Find the matrix P
b) Write the following simultaneous linear equations as a matrix equation:
x  2y  8
3x  4 y   6
Hence, using matrices, calculate the value of x and of y.

( 6 marks )
 2  5  3 h
5. It is given that matrix P =   and matrix Q = k   such that
1 3   1 2 
1 0
PQ =  
0 1
a) Find the value of k and of h

b) Using matrices, find the value of x and of y that satisfy the following simultaneous
linear equations :
2x – 5y = -17
x + 3y = 8
( 6 marks )

1   4 2  n  2 1 0
6. (a) Given     . Find the values of m and n.
m   5 3   5  4   0 1 
(b) Using matrices, calculate the value of x and y that satisfy the following matrix
equation.

 4 2  x  1
    =  
5 3   y   2

( 7 marks )

1 4  2  1 2 1 0
7. (a) Given that      . Find the value of p and q.
p q 1   3 4   0 1 

(b) Write the following simultaneous linear equations as matrix equation:

x  2y  2
 3 x  4 y  11
Hence, using matrices, calculate the value of x and of y.

( 7 marks )

1  2
8. a) Find the inverse matrix of  .
3 4 
b) Write the following simultaneous linear equations as matrix equation:
x  2y  4
3x  4 y  2
Hence, using matrix method, calculate the value of x and of y.
( 6 marks )

SPM Past Years (Matrices Paper 1)


1. B
2. A
3. A
4. D
5. A
6. A
7. D
8. A
9. D
10. D
11. D
12. C
13. A
14. A
15. C
16. A
17. C
18. A
19. B
20. B
21. D

Answer (Matrices Paper 2)


3  2  x   7 
1. a) k=2 b)       , x = 5 , y = 4
5 4  y   9 

1  6  3
2. a)   b) x = -4, y = 3
 3   5 2 

1  6 4 1 11
3. a)   m= , p = 4 b) x = 7, y =
2   5 3  2 2

1  4 2 1  2  x   8 
4. a)   b)       , x = 2, y = -3
10   3 1  3 4  y    6 

1
5. a) k = , h=5 b) x = -1, y = 3
11

1 3
6. a) m = - 2, n = 3 b) x = , y=
2 2

1
7. a) p = 10, q = 3 b) x = 3, y = 
2

1 �4 2 �
8. a) � � b) x = 2, y = -1
10 �3 1 �

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