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Quiz Chapter 2: Matrices

10 questions · Form 5 Mathematics Bab 2: Matrices

10 questions · plays in fullscreen

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. If matrix X + [[3, 4], [-1, 2]] = [[5, 1], [2, 0]], find matrix X.

  1. A. [[2, -3], [3, -2]]
  2. B. [[8, 5], [1, 2]]
  3. C. [[2, 3], [3, 2]]
  4. D. [[-2, 3], [-3, 2]]
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Answer: A

X = [[5-3, 1-4], [2-(-1), 0-2]] = [[2, -3], [3, -2]].

2. Which of the following represents an Identity Matrix of order 2 × 2?

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

The identity matrix has 1s on the primary diagonal and 0s elsewhere.

3. Under what condition does a 2 × 2 matrix [[a, b], [c, d]] NOT have an inverse matrix?

  1. D. ad + bc = 0
  2. B. ad - bc = 0
  3. C. a = d and b = c
  4. A. ad - bc > 0
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Answer: B

A matrix does not have an inverse if its determinant is zero (ad - bc = 0).

4. Given A = [[1, 3], [2, 4]] and B = [[-1, 2], [0, 5]]. Calculate A - 2B.

  1. B. [[3, -1], [2, -6]]
  2. A. [[3, -1], [2, -14]]
  3. C. [[2, 1], [2, -1]]
  4. D. [[-1, 1], [2, -6]]
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Answer: B

2B = [[-2, 4], [0, 10]]. A - 2B = [[1 - (-2), 3 - 4], [2 - 0, 4 - 10]] = [[3, -1], [2, -6]].

5. 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]]
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Answer: A

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

6. Find the inverse matrix of A = [[3, 1], [5, 2]].

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

det(A) = 3(2) - 1(5) = 6 - 5 = 1. Inverse = 11 * [[2, -1], [-5, 3]] = [[2, -1], [-5, 3]].

7. Matrix M has order 2 × 3 and matrix N has order 3 × 4. What is the order of the product matrix MN?

  1. A. 2 × 4
  2. C. 3 × 3
  3. B. 4 × 2
  4. D. Cannot be multiplied
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Answer: A

For (2 × 3) × (3 × 4), inner dimensions match (3=3). The resulting matrix order is outer dimensions 2 × 4.

8. 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.

9. Calculate [[x, 2]] [[3], [x]] = [20]. Find the positive value of x.

  1. B. 4
  2. A. 5
  3. C. 2
  4. D. 10
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Answer: B

x(3) + 2(x) = 20 => 3x + 2x = 20 => 5x = 20 => x = 4.

10. 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.

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