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If A=[[1,2,3],[2,3,4],[0,0,2]] then the ...

If `A=[[1,2,3],[2,3,4],[0,0,2]]` then the value of `adj(adjA)` is-

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A is a matrix of 3times3 ,where A=([1,2,3],[2,3,4],[4,5,8]) then the value of |(adj(adj(adj(adj A)))| is equal to 2^( k) ,the value of k-9 is

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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=[[1, -1, 2], [-2, 3, 5], [-2, 0, -1]] , then adjA=

    A
    `[[-3, -1, -11], [-12, 3, -9], [6, 2, 1]]`
    B
    `[[-3, -12, 6], [-1, 3, 2], [-11, -9, 1]]`
    C
    `[[-3, -1, -11], [12, 3, -9], [6, 2, 1]]`
    D
    `[[-3, -1, 11], [-12, 2, 9], [6, 2, 1]]`

  • If A= [[1 ,-2, 2],[0, 2, -3],[3 ,-2, 4]] , then A . adj A=

    A
    ` [[5, 0, 0],[ 0, 5, 0],[0, 0,5]]`
    B
    ` [[5, 1, 1],[ 1, 5, 1],[1, 1,5]]`
    C
    ` [[0, 0, 0],[ 0,0, 0],[0, 0,0]]`
    D
    ` [[8, 0, 0],[ 0,8, 0],[0, 0,8]]`

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    If A=[[1,-1,11,2,01,3,0]] then the value of |adjA|

    If A=[[1,2,3],[1,3,4],[1,4,3]] ,verify that A(adj.A)=(adj.A)=|A|.I

    Let A be a square matrix of order 3 whose elements are real numbers and adj.(adj(adj.A))=[[16,0,-3],[0,4,0],[0,3,4]] then find absolute value of Tr(A^(-1)) [Note: adj(P) and Tr(P) denote adjoint matrix and trace of matrix P respectively]

    If A = [[1,-1,2],[3,0,-2],[1,0,3]] verify that A(adjA) = (adjA)A = abs(A)I ,

    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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