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A is a 3times3 matrix and |A|=2 then |ad...

A is a `3times3` matrix and `|A|=2` then `|adj(adj(adjA))|`=________
(A) 8 (B) 64 (C) 256 (D) 512

Answer

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Knowledge Check

  • If A is a ntimesn matrix and |A|ne0 , then adj(adjA)=

    A
    `|A|^(n-1)A`
    B
    `|A|^(n-2)A`
    C
    `|A|^(n)A`
    D
    `|A|^(2)`

  • If A is a matrix of order 3 and |A|=2, then A |adj A| is

    A
    1
    B
    2
    C
    8
    D
    4

  • If A is order 3 square matrix such that |A|=2 , then |"adj (adj (adj A))"| is

    A
    512
    B
    256
    C
    64
    D
    none of these

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    2^(3^2) = (a)64 (b) 32 (c)256 (d) 512

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