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Quiz Chapter 2: Matrices

10 questions · Form 5 Mathematics Bab 2: Matrices

Question 1 of 10Score: 0

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

Full Question List & Answer Key

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1. 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
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Answer: A

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

2. 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]].

3. 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]]
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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]].

4. Given matrix A = [4 -2 5]. What type of matrix is A?

  1. C. Square matrix
  2. A. Column matrix
  3. B. Row matrix
  4. D. Identity matrix
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Answer: B

Matrix A consists of a single row, so it is a row matrix (order 1 × 3).

5. 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].

6. 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.

7. 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.

8. Calculate the determinant of matrix A = [[4, 2], [3, 2]].

  1. B. 2
  2. A. 14
  3. C. -2
  4. D. 8
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Answer: B

det(A) = ad - bc = (4)(2) - (2)(3) = 8 - 6 = 2.

9. 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).

10. Calculate the result of [3 -1] + [4 6].

  1. D. [12 -6]
  2. B. [7 5]
  3. C. [7 -7]
  4. A. [1 7]
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Answer: B

[3+4 -1+6] = [7 5].

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