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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

  • 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

  • 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 diagonal elements of a skew-symmetric matrix are:

    A
    unequal
    B
    zero
    C
    one
    D
    Insufficient data

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

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

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