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Quiz Chapter 2: Matrices

10 questions · Form 5 Mathematics Bab 2: Matrices

Question 1 of 10Score: 0

Find the product of [[1, 2], [3, 4]] and [[1], [0]].

Full Question List & Answer Key

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1. Find the product of [[1, 2], [3, 4]] and [[1], [0]].

  1. C. [[1, 2], [3, 0]]
  2. A. [[1], [3]]
  3. B. [[3], [7]]
  4. D. [[2], [4]]
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Answer: A

Row 1: 1(1) + 2(0) = 1. Row 2: 3(1) + 4(0) = 3. Result = [[1], [3]].

2. Given [[2, 0], [0, 2]] [[x], [y]] = [[8], [10]]. Find the values of x and y.

  1. A. x = 4, y = 5
  2. B. x = 8, y = 10
  3. C. x = 16, y = 20
  4. D. x = 2, y = 5
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Answer: A

2x = 8 => x = 4; 2y = 10 => y = 5.

3. Evaluate [2 5] [[3], [-1]].

  1. C. [1]
  2. A. [11]
  3. B. [[6], [-5]]
  4. D. [6 -5]
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Answer: C

[2(3) + 5(-1)] = [6 - 5] = [1].

4. Given matrix P = [[2, -1], [4, 3]]. Find 3P.

  1. A. [[6, -3], [12, 9]]
  2. B. [[6, -1], [4, 3]]
  3. C. [[5, 2], [7, 6]]
  4. D. [[6, -3], [4, 9]]
Show answer

Answer: A

Multiply every element by 3: 3×2=6, 3×(-1)=-3, 3×4=12, 3×3=9.

5. If [x + 2 5] = [7 y - 1], find the values of x and y.

  1. C. x = 9, y = 4
  2. A. x = 5, y = 6
  3. B. x = 5, y = 4
  4. D. x = 7, y = 5
Show answer

Answer: A

Equating corresponding elements: x + 2 = 7 => x = 5; y - 1 = 5 => y = 6.

6. What is the order of a matrix with 3 rows and 2 columns?

  1. B. 2 × 3
  2. A. 3 × 2
  3. C. 3 × 3
  4. D. 6
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Answer: A

The order of a matrix is written as rows × columns. 3 rows and 2 columns give order 3 × 2.

7. Given A B = I, where I is an identity matrix. Which statement is TRUE?

  1. A. B is the inverse matrix of A
  2. B. A and B are both column matrices
  3. C. det(A) = 0
  4. D. A + B = I
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Answer: A

By definition, if A B = I, then B = A⁻¹ (B is the inverse matrix of A).

8. Find the value of k if matrix [[k, 6], [2, 3]] does not have an inverse.

  1. C. 9
  2. A. 4
  3. B. 12
  4. D. 0
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Answer: A

det = 0 => 3k - (6)(2) = 0 => 3k - 12 = 0 => 3k = 12 => k = 4.

9. Convert the simultaneous equations 2x - 3y = 7 and x + 4y = -2 into matrix equation form AX = B.

  1. A. [[2, -3], [1, 4]] [[x], [y]] = [[7], [-2]]
  2. B. [[2, 3], [1, 4]] [[x], [y]] = [[7], [-2]]
  3. C. [[2, 1], [-3, 4]] [[x], [y]] = [[7], [-2]]
  4. D. [[2, -3], [4, 1]] [[x], [y]] = [[7], [-2]]
Show answer

Answer: A

The coefficient matrix contains coefficients of x and y: Row 1 = [2, -3], Row 2 = [1, 4].

10. The total cost of 2 notebooks and 3 pens is RM13, while 4 notebooks and 1 pen cost RM11. Which matrix equation models this scenario?

  1. A. [[2, 3], [4, 1]] [[x], [y]] = [[13], [11]]
  2. B. [[2, 4], [3, 1]] [[x], [y]] = [[13], [11]]
  3. C. [[2, 3], [1, 4]] [[x], [y]] = [[13], [11]]
  4. D. [[3, 2], [1, 4]] [[x], [y]] = [[13], [11]]
Show answer

Answer: A

Let x = price of notebook, y = price of pen. 2x + 3y = 13 and 4x + y = 11. Matrix: [[2, 3], [4, 1]] [[x], [y]] = [[13], [11]].

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