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    Matrices Most Important MCQs

    Uploaded by

    Pranavi Muthusamy

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    Matrices Most Important MCQs

    Uploaded by

    Pranavi Muthusamy
    24 views4 pages

    Copyright

    © © All Rights Reserved

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    PDF, TXT or read online from Scribd

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    Copyright:

    © All Rights Reserved
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    24 views4 pages

    Matrices Most Important MCQs

    Uploaded by

    Pranavi Muthusamy

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 4

    Topics Covered

    Definition, Types & Algebraic operations


    Q.1. The number of all possible matrices of order 2 × 3 with each entry 1 or 2 is
    (A) 16 (B) 6
    (C) 64 (C) 24
    [CBSE Board 2021]
    Ans. Option (C) is correct.

    3𝑐 + 6 𝑎−𝑑 12 2
    Q.2. = are equal, then value of 𝑎𝑏 − 𝑐𝑑 is:
    𝑎+𝑑 2 − 3𝑏 −8 −4
    (A) 4 (B) 16
    (C) -4 (C) -16
    [CBSE Board 2021]
    Ans. Option (A) is correct.

    0 1 1
    Q.3. For the matrix X = 1 0 1 , (X − X) is:
    1 1 0
    (A) 21 (B) 31
    (C) 1 (C) 51
    [CBSE Board 2021]
    Ans. Option (A) is correct.

    3 4
    −1 2 1
    Q.4. For two matrices P = −1 2 and Q = , P − Q is:
    1 2 3
    0 1
    2 3 4 3
    (A) −3 0 (B) −3 0
    0 −3 −1 −2
    4 3 2 3
    (C) −0 −3 (C) 0 −3
    −1 −2 0 −3
    [CBSE Board 2021]
    Ans. Option (B) is correct.

    Q.5. A matrix A = 𝑎 is defined by


    ×
    2𝑖 + 3𝑗 , 𝑖 < 𝑗
    𝑎 = 5 , 𝑖=𝑗
    3𝑖 − 2𝑗 , 𝑖 > 𝑗
    The number of elements in A which are more than 5, is:
    (A) 3 (B) 4
    (C) 5 (C) 6
    [CBSE Board 2021]
    Ans. Option (B) is correct.

    Q.6. If A is a square matrix such that A = A, then (I − A) + A is equal to:


    (A) I (B) 0
    (C) I − A (C) I + A
    [CBSE Board 2021]
    Ans. Option (A) is correct.

    1 0
    Q.7. If [𝑥 1] = 0, then 𝑥 equals:
    −2 0
    (A) 0 (B) -2
    (C) -1 (C) 2
    [CBSE Delhi Set-II 2020]
    Ans. Option (D) is correct.

    3 2
    Q.8. If 𝐴 = [2 − 3 4], 𝐵 = 2 , 𝑋 = [1 2 3] and 𝑌 = 3 ,
    2 4
    Then 𝐴𝐵 + 𝑋𝑌 equals:
    (A) [28] (B) [24]
    (C) 28 (C) 24
    [CBSE OD Set-I 2020]
    Ans. Option (A) is correct.

    Q.9. Suppose 𝑃 and 𝑄 are two different matrices of order 3 × 𝑛 and 𝑛 × 𝑝, then the order
    of the matrix 𝑃 × 𝑄 is?
    (A) 3 × 𝑝 (B) 𝑝 × 3
    (C) 𝑛 × 𝑛 (C) 3 × 3
    [CBSE SQP 2019-20]
    Ans. Option (A) is correct.

    Q.10. 𝐴 = 𝑎 ×
    is a square matrix, if
    (A) 𝑚 < 𝑛 (B) 𝑚 > 𝑛
    (C) 𝑚 = 𝑛 (C) None of these
    Ans. Option (C) is correct.

    Topics Covered
    Transpose of a matrix, Symmetric & Skew symmetric matrices
    cos 𝛼 −sin 𝛼
    Q.1. If 𝐴 = , then 𝐴 + 𝐴 = 𝐼, then the value of 𝛼 is:
    sin 𝛼 cos 𝛼
    (A) (B)
    (C) 𝜋 (C)
    Ans. Option (B) is correct.

    Q.2. Matrices 𝐴 and 𝐵 will be inverse of each other only if:


    (A) 𝐴𝐵 = 𝐵𝐴 (B) 𝐴𝐵 = 𝐵𝐴 = 0
    (C) 𝐴𝐵 = 0, 𝐵𝐴 = 𝐼 (C) 𝐴𝐵 = 𝐵𝐴 = 𝐼
    Ans. Option (D) is correct.

    Q.3. If 𝐴 and 𝐵 are symmetric matrices of same order, then 𝐴𝐵 − 𝐵𝐴 is a:


    (A) Skew-symmetric matrix (B) Symmetric matrix
    (C) Zero matrix (C) Identity matrix
    Ans. Option (A) is correct.

    Q.4. If the matrix 𝐴 is both symmetric and skewsymmetric, then:


    (A) 𝐴 is a diagonal matrix (B) 𝐴 is a zero matrix
    (C) 𝐴 is a square matrix (C) None of these
    [CBSE Board 2021]
    Ans. Option (B) is correct.

    1 0 0
    Q.5. The matrix 0 2 0 is a:
    0 0 4
    (A) identity matrix (B) symmetric matrix
    (C) skew-symmetric matrix (C) None of these
    [CBSE Board 2021]
    Ans. Option (B) is correct.

    0 −5 8
    Q.6. The matrix 5 0 12 is a:
    −8 −12 0
    (A) diagonal matrix (B) symmetric matrix
    (C) skew symmetric matrix (C) scalar matrix
    Ans. Option (C) is correct.

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