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Using the elements -3, -2,-1, 0, 1, 2, ...

Using the elements `-3, -2,-1, 0, 1, 2, 3` A. the number of `3xx3` matrices having trace 0 is 35.

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Matrices of order 3xx3 are formed by using the elements of the set A={-3,-2,-1,0,1,2,3} , then probability that matrix is either symmetric or skew symmetric is

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Knowledge Check

  • The number of 2 xx 2 matrices having elements 0 and 1 is

    A
    8
    B
    16
    C
    4
    D
    6

  • A is a 3 xx 3 matrix whose elements are from the set { -1, 0, 1} . Find the number of matrices A such that tr(A A^T) =3 . Where tr(A) is the trace of A.

    A
    572
    B
    612
    C
    672
    D
    682

  • Matrices of order 3xx3 are formed by using the elements of the set A={-3,-2,-1,0,1,2,3} , then probability that matrix is either symmetric or skew symmetric is

    A
    `(1)/(7^(6))+(1)/(7^(3))`
    B
    `(1)/(7^(9))+(1)/(7^(3))-(1)/(7^(6))`
    C
    `(1)/(7^(3))+(1)/(7^(9))`
    D
    `(1)/(7^(3))+(1)/(7^(6))-(1)/(7^(9))`

    • Similar Questions

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    Matrices of order 3xx3 are formed by using the elements of the set A={-3,-2,-1,0,1,2,3} , then probability that matrix is either symmetric or skew symmetric is

    Matrices of order 33 are formed by using the elements of the set A={-3,-2,-1,0,1,2,3} then probability that matrix is either symmetric or skew symmetric is

    A is a 3 xx 3 matrix whose elements are from the set { -1, 0, 1} . Find the number of matrices A such that tr(AxxA^T) =3 . Where tr(A) is the trace of A.

    Let A = [[0,1,0],[1,0,0],[0,0,1]] . Then the number of 3 xx 3 matrices B with entries from the set {1, 2, 3, 4, 5} and satisfying AB = BA is _______.

    Matrices of order 3 xx 3 are formed by using the elements of the set A={-3,-2,-1,0,1,2,3}, then probability that matrix is either symmetric or skew symmetric is

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