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Consider a matrix A=[[1,1,1],[0,0,1],[2,...

Consider a matrix A=`[[1,1,1],[0,0,1],[2,3,4]]` .The value of determinant of `(A^(-1)-(A^(-1))^(2))` is

Answer

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Knowledge Check

  • If the adjoint of a 3xx3 matrix P is [(1,4,4),(2,1,7),(1,1,3)] then the possibel values of the determinant of P is

    A
    `-2`
    B
    `-1`
    C
    `1`
    D
    `2`

  • If the adjoint of a 3xx3 matrix P is [(1,4,4),(2,1,7),(1,1,3)] , then the possible value (s) of the determinant of P is /are

    A
    `+-2`
    B
    `-1`
    C
    1
    D
    3

  • The inverse of the matrix [[1, 0, 1], [0, 2, 3], [1, 2, 1]] is

    A
    `(-1)/(6)[[-4, 2, -2], [3, 0, -3], [-2, -2, 2]]`
    B
    `(1)/(6)[[-4, 2, -2], [3, 0, -3], [-2, -2, 2]]`
    C
    `[[-2, 1, -1], [1, 0, -1], [-2, -2, 2]]`
    D
    `[[2, -1, 1], [-1, 0, 1], [2, 2, -2]]`

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