JAMB and WAEC Further Mathematics questions: Matrices and determinants

16 questions with answers and explanations. Tap an option to check yourself.

1. Question 1· Matrices and determinants· WAEC

   A has rows (1, −3) and (0, 2). Find 2A.

   • Arows (3, −1) and (2, 4)
   • Brows (2, −6) and (0, 4)
   • Crows (2, −3) and (0, 2)
   • Drows (1, −6) and (0, 4)

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   Explanation and discussion

2. Question 2· Matrices and determinants· WAEC

   If A has rows (1, 2) and (3, 4), then 2A has rows

   • A(3, 4) and (5, 6)
   • B(2, 4) and (6, 8)
   • C(1, 4) and (9, 16)
   • D(2, 2) and (3, 4)

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   Explanation and discussion

3. Question 3· Matrices and determinants· WAEC

   The matrix with rows (x, 3) and (2, 4) has determinant 6. Find x.

   • A6
   • B0
   • C3
   • D−3

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   Explanation and discussion

4. Question 4· Matrices and determinants· WAEC

   The identity matrix of order 2 has rows

   • A(1, 0) and (0, 1)
   • B(1, 1) and (1, 1)
   • C(0, 1) and (1, 0)
   • D(0, 0) and (0, 0)

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5. Question 5· Matrices and determinants· WAEC

   Find the determinant of the 3 × 3 matrix with rows (1, 0, 2), (0, 3, 1) and (2, 1, 0).

   • A5
   • B13
   • C−11
   • D−13

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   Explanation and discussion

6. Question 6· Matrices and determinants· WAEC

   The product of a 2 × 3 matrix and a 3 × 1 matrix is a

   • A1 × 2 matrix
   • B3 × 3 matrix
   • C2 × 3 matrix
   • D2 × 1 matrix

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7. Question 7· Matrices and determinants· WAEC

   A has rows (2, 1) and (3, 4); B has rows (1, 0) and (2, 1). Find A + B.

   • Arows (3, 1) and (5, 4)
   • Brows (2, 0) and (6, 4)
   • Crows (3, 1) and (5, 5)
   • Drows (1, 1) and (1, 3)

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   Explanation and discussion

8. Question 8· Matrices and determinants· WAEC

   For what value of k is the matrix with rows (k, 2) and (3, 6) singular?

   • A2
   • B1
   • C3
   • D−1

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9. Question 9· Matrices and determinants· WAEC

   Find x if the matrix with rows (x, 4) and (2, 2) is singular.

   • A8
   • B2
   • C4
   • D1

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10. Question 10· Matrices and determinants· WAEC

    Find the determinant of the matrix with rows (4, −2) and (3, 5).

    • A26
    • B14
    • C−26
    • D22

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    Explanation and discussion

11. Question 11· Matrices and determinants· WAEC

    A 2 × 2 matrix is singular when its determinant is

    • Azero
    • Bone
    • Cnegative
    • Dpositive

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12. Question 12· Matrices and determinants· WAEC

    A has rows (1, 2) and (0, 1); B has rows (3, 0) and (1, 2). Find AB.

    • Arows (3, 4) and (0, 2)
    • Brows (3, 0) and (1, 2)
    • Crows (4, 2) and (1, 3)
    • Drows (5, 4) and (1, 2)

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13. Question 13· Matrices and determinants· WAEC

    Find the determinant of the matrix with rows (3, 2) and (1, 4).

    • A−10
    • B14
    • C11
    • D10

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14. Question 14· Matrices and determinants· WAEC

    Find the determinant of the matrix with rows (5, −2) and (3, 1).

    • A−11
    • B−1
    • C1
    • D11

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    Explanation and discussion

15. Question 15· Matrices and determinants· WAEC

    Find the transpose of the matrix with rows (1, 2) and (3, 4).

    • Arows (2, 1) and (4, 3)
    • Brows (4, 3) and (2, 1)
    • Crows (1, 3) and (2, 4)
    • Drows (1, 2) and (3, 4)

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16. Question 16· Matrices and determinants· WAEC

    The inverse of the matrix with rows (2, 1) and (5, 3) is the matrix with rows

    • A(−3, 1) and (5, −2)
    • B(3, 1) and (5, 2)
    • C(3, −1) and (−5, 2)
    • D(2, −1) and (−5, 3)

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    Explanation and discussion