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The determinant of a skew symmetric mat...

The determinant of a skew symmetric matrix of odd order is

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The trace of a skew symmetric matrix of odd order is equal to its A.Determinant value C. Order B.Transpose D.Index

The inverse of a skew symmetric matrix of odd order is 1)a symmetric matrix 2)a skew symmetric matrix 3)a diagonal matrix 4)does not exist

Knowledge Check

  • Statement -1 : Determinant of a skew-symmetric matrix of order 3 is zero. Statement -2 : For any matrix A, Det (A) = "Det"(A^(T)) and "Det" (-A) = - "Det" (A) where Det (B) denotes the determinant of matrix B. Then,

    A
    Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 6
    B
    Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 6
    C
    Statement 1 is true, Statement 2 is False
    D
    Statement 1 is False, Statement 2 is true

  • The inverse of a skew symmetric matrix is

    A
    a symmetric matrix if it exists
    B
    a skew symmetric matrix if it exists
    C
    transpose of the original matrix
    D
    may not exist

  • If A is a skew -symmetric matrix of odd order, then |adjA| is equal to

    A
    0
    B
    n
    C
    `n^2`
    D
    None of the above

    • Similar Questions

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    The inverse of a skew-symmetric matrix of odd order a.is a symmetric matrix b.is a skew- symmetric c.is a diagonal matrix d.does not exist

    If A is a skew-symmetric matrix of odd order n, then |A|=0

    Which of the following is incorrect? 1. Determinant of Nilpotent matrix is 0 2. Determinant of an Orthogonal matrix = 1 or -1 3. Determinant of a Skew - symmetric matrix is 0. 4. Determinant of Hermitian matrix is purely real.

    If A is a skew-symmetric matrix of odd order n, then |A|=O .

    Show that every skew-symmetric matrix of odd order is singular.

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