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Let A be a matrix such that adj (adj A)=...

Let A be a matrix such that `adj (adj A)= [(5,2,1),(3,1,0),(2,2,1)]` then the value of

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Let A be a 3 xx 3 matrix such that adj A = [{:(,2,-1,1),(,-1,0,2),(,1,-2,-1):}] and B =adj (adj A) . If |A| = lambda and |(B^(-1))^T| = mu then the ordered pair (|lambda|, mu) is equal to

If A = [{:( -1, 2, -3),( -2,0, 3),( 3, -3, 1):}] be a matrix such that |A| adj (A ^(-1)) = KA, then find the value of K.

Knowledge Check

  • If A= [{:(1,0,3),(2,1,1),(0,0,2):}] , then the value of |adj(adj A) | is

    A
    14
    B
    16
    C
    15
    D
    12

  • If A is a square matrix of order 3 such that A (adj A) =[(-2,0,0),(0,-2,0),(0,0,-2)] , then |adj A| is equal to

    A
    `-2`
    B
    `-4`
    C
    4
    D
    `-8`

  • If A[(2,0,3),(1,-1,2),(3,-2,0)] , then (adj A)A=

    A
    `[(-11,0,0),(0,-11,0),(0,0,-11)]`
    B
    `[(11,0,0),(0,11,0),(0,0,11)]`
    C
    `[(17,0,0),(0,17,0),(0,0,17)]`
    D
    `[(-7,0,0),(0,-7,0),(0,0,-7)]`

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    Let A be a square matrix of order 3 such that adj. (adj. (adj. A)) =[(16,0,-24),(0,4,0),(0,12,4)] . Then find the value of |A|

    Let A be a non singular matrix such that A^(-1)=[(1, 1, 1),( 4, 6, 8 ),( 100, 100, 99 )] .Then the value of det (adj2A)+det(2A)=

    Find adj (adj (A)) if adj A= [(1,0,1),(0,2,0),(-1,0,1)] .

    Let A be a 3xx3 real matrix. If det(2 Adj(2 Adj(Adj (2A)))) = 2^(41) , then the value of det (A^2) equals _______

    Let A=[(x,2,-3),(-1,3,-2),(2,-1,1)] be a matrix and |adj(adjA)|=(12)^(4) , then the sum of all the values of x is equal to

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