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adj AB -(adj B)(adj A) =...

`adj AB -(adj B)(adj A) =`

A

`adj A-adj B`

B

1

C

0

D

non of these

Text Solution

Verified by Experts

The correct Answer is:
c
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Let A be a matrix of order 3 xx 3 andmatrices B, C and D are related suchthat B = adj (A), C = adj (adj A), D = (adj(adj (adj A))). If | adj( adj (adj (adjABCD))) is |A|^K, then k (A) is less than 256 (B) has 21 divisors (C) cannot say (D) is an odd number

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Knowledge Check

  • If A is a square matrix such that A(adj A)=[(4,0,0),(0,4,0),(0,0,4)] , then (|adj (adj A)|)/(|adj A|) is equal to

    A
    256
    B
    16
    C
    32
    D
    64

  • 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

  • A and B are two matrices of same order 3 xx 3 , where A=[{:(1,2,3),(2,3,4),(5,6,8):}],B=[{:(3,2,5),(2,3,8),(7,2,9):}] Value of |adj (adj adj( adj A)))| is

    A
    `2^4`
    B
    `2^9`
    C
    `1`
    D
    `2^19`

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