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    Unit No.2 Etea MCQS: 2010-63 (Eng.) 2010-124 (Eng.) 2010-170 (Eng.) 2011-17 (Eng.) 2011-21 (Eng.)

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    Moin Khan
    The document contains 27 multiple choice questions related to matrices and linear algebra concepts like matrix operations, properties of matrices, systems of linear equations, and matrix inverses. Some key facts covered are: the transpose of the product of conformable matrices is equal to the product of the transposes in reverse order; the determinant of a matrix is equal to the determinant of its transpose; and the order of the product of two matrices is determined by the order of the individual matrices.

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    Unit No.2 Etea MCQS: 2010-63 (Eng.) 2010-124 (Eng.) 2010-170 (Eng.) 2011-17 (Eng.) 2011-21 (Eng.)

    Uploaded by

    Moin Khan
    666 views2 pages
    The document contains 27 multiple choice questions related to matrices and linear algebra concepts like matrix operations, properties of matrices, systems of linear equations, and matrix inverses. Some key facts covered are: the transpose of the product of conformable matrices is equal to the product of the transposes in reverse order; the determinant of a matrix is equal to the determinant of its transpose; and the order of the product of two matrices is determined by the order of the individual matrices.

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    Unit-2 MCQS

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    The document contains 27 multiple choice questions related to matrices and linear algebra concepts like matrix operations, properties of matrices, systems of linear equations, and matrix inverses. Some key facts covered are: the transpose of the product of conformable matrices is equal to the product of the transposes in reverse order; the determinant of a matrix is equal to the determinant of its transpose; and the order of the product of two matrices is determined by the order of the individual matrices.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    666 views2 pages

    Unit No.2 Etea MCQS: 2010-63 (Eng.) 2010-124 (Eng.) 2010-170 (Eng.) 2011-17 (Eng.) 2011-21 (Eng.)

    Uploaded by

    Moin Khan
    The document contains 27 multiple choice questions related to matrices and linear algebra concepts like matrix operations, properties of matrices, systems of linear equations, and matrix inverses. Some key facts covered are: the transpose of the product of conformable matrices is equal to the product of the transposes in reverse order; the determinant of a matrix is equal to the determinant of its transpose; and the order of the product of two matrices is determined by the order of the individual matrices.

    Copyright:

    © All Rights Reserved
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    Genius Series Maths 11 104 Unit-2 ETEA MCQs

    Unit no.2 ETEA MCQs

    1. If A,B,C are conformable for multiplication, then (ABC)t = 2010-63(Eng.)


    (a) 𝐂 𝐭 𝐁𝐭 𝐀𝐭 (b) B t C t At (c) At B t C t (d) B t At C t
    2. Let A be a matrix of order n × n, then |𝐴| = ________ 2010-124 (Eng.)
    (a) |−A| (b) |A−1 | (c) |𝐀𝐭 | (d) None
    3. The transpose of a row matrix is _______ 2010-170 (Eng.)
    (a) Column matrix (b) Row matrix (c) Square matrix (d) None of the above
    k−2 1
    4. If | | = 0, then k = _________ 2011-17 (Eng.)
    5 k+2
    (a) 0 (b) 3 (c) −3 (d) ±𝟑
    5. The cofactor of an element a ij denoted by Aij is ______ 2011-21 (Eng.)
    (a) (−1)ij Mij (b) (−𝟏)𝐢+𝐣 𝐌𝐢𝐣 (c) (−1)i−j Mij (d) (1)i+j Mij
    6. Let A and B are any two matrices of the same order then (A + B)t = _____
    2011-167 (Eng.)
    (a) At − B t (b) 𝐀𝐭 + 𝐁𝐭 (c) A + B t (d) At + B
    −1 t
    7. For a given matrix A, if |A| ≠ 0, then (A ) = ______ 2012-54 (Eng.)
    (a) (𝐀𝐭 )−𝟏 (b) A−1 (c) (A−1 )−1 (d) (At )−t
    8. The order of a matrix A is p × q, order of matrix B= q × r, then the order of matrix
    C = A × B will be 2012-83 (Eng.)
    (a) 𝐩 × 𝐫 (b) p × q (c) q × r (d) r × p
    9. If C and D are two matrices, (C + D)t = __________ 2013-16 (Eng.)
    (a) 𝐂 𝐭 + 𝐃𝐭 (b) C t dt (c) Dt C t (d) (CD)t
    10. If a system of linear equations has no solution, it is called: 2013-33 (Eng.)
    (a) Invertible (b) Indeterminate (c) Consistent (d) Inconsistent
    11. If A is a non-singular matrix, then A−1 = _______ 2013-56 (Eng.)
    𝟏 1 |A|
    (a) 𝐚𝐝𝐣𝐀 (b) A−1 adjA (c) adjA (d)
    |𝐀| A−1 adjA
    12. If A is a square matrix of order 3 × 3, then AAt is: 2013-86 (Eng.)
    (a) Symmetric (b) Skew-symmetric (c) Triangular (d) None of the above
    13. Identity matrix is always: 2014-64 (Eng.)
    (a) Rectangular (b) Skew-symmetric (c) Singular (d) Non-singular
    0 1 − 2𝑖
    14. The matrix [ ] is: 2014-75 (Eng.)
    −1 − 2𝑖 0
    (a) Hermitian Matrix (b) Skew Hermitian Matrix
    (c) Symmetric Matrix (d) Skew Symmetric matrix
    15. If any two rows or two columns in a square matrix A are interchanged, then the
    determinant of the resulting matrix is: 2015-2 (Eng.)
    (a) |A| (b) |A − 2| (c) |A|−1 (d) −|𝐀|
    16. A square matrix M = [a ij ] of order n with complex entries. If (M ̅ )t = −M, then
    which is correct? 2015-36 (Eng.)
    (a) M is skew-hermition (b) a̅ ij = −a ij , for i, j = 1,2,3, ------- , n
    (c) M is Anti-hermitian (d) All of the above
    17. Generally B − B t is a: 2015-168 (Eng.)
    (a) Symmetric matrix (b) Skew-Symmetric matrix (c) Singular matrix
    (d) Additive inverse
    Genius Series Maths 11 105 Unit-2 ETEA MCQs

    18. A square matrix A = [aij ] is called diagonal matrix if: 2016-5 (Eng.)
    (a) a ij = 0 for i = j (b) 𝐚𝐢𝐣 = 𝟎 𝐟𝐨𝐫 𝐢 ≠ 𝐣 (c) a ij ≠ 0 for i ≠ j
    (d) All of the above
    19. A homogeneous system has non-trivial solution. If A is the coefficient matrix, then
    2016-15 (Eng.)
    (a) det(A) ≠ 0 (b) 𝐝𝐞𝐭(𝐀) = 𝟎 (c) det(A) < 0 (d) det(A) > 0
    20. A square matrix A = [a ij ] is called upper triangular if: 2016-94 (Eng.)
    (a) 𝐚𝐢𝐣 = 𝟎 , ∀ 𝐢 > 𝐣 (b) a ij = 0, ∀ i < j (c) a ij = 0, ∀ i = j
    (d) Both (b) and (c).
    21. The rank of matrix A is the number of ------- rows in its echelon form.
    2016-175 (Eng.)
    (a) Zero (b) Identical (c) Non-zero (d) Equal
    2 λ
    22. If A = [ ] is a non-singular matrix, then λ can takes all the real values except:
    3 1
    2017-182 (Eng.)
    𝟐 2 3
    (a) 0 (b) 𝟑 (c) − 3 (d) 2
    23. If det(A−1 ) = 5, then det(A) = 2018-107 (Eng.)
    𝟏 1
    (a) 5 (b) −5 (c) 𝟓 (d) − 5
    24. For a square matrix 𝐴 = [a ij ], the condition that a ij = 0, ∀ i ≠ j and a ij =
    −1, ∀ i = j hold for: 2018-141 (Eng.)
    (a) Diagonal matrix (b) Unit matrix (c) Scalar matrix
    (d) Skew-symmetric matrix
    25. Equation having a common solution are called: 2019-73 (Eng.)
    (a) Linear equations (b) Homogeneous equations
    (c) Simultaneous equations (d) None of the above
    26. If A is a symmetric matrix then At =? 2019-127 (Eng.)
    (a) A (b) |A| (c) O (d) Diagonal matrix
    27. If A is a matrix of order m × n and B is a matrix of order n × p, then order of BA is:
    2019-128 (Eng.)
    (a) p × m (b) p × n (c) n × p (d) None of the above

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