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If |adj(adj A) | = | A|^(9) then the ord...

If |adj(adj A) | =` | A|^(9)` then the order of the square matrix A is

A

3

B

4

C

2

D

5

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If A^(T) is the transpose of a square matrix A, then

    A
    `|A|ne|A^(T)|`
    B
    `|A|=|A^(T)|`
    C
    `|A|+|A^(T)|`=0
    D
    `|A|=|A^(T)|` only

  • If |adj (adj A)|=|A|^(9) square matrix A is

    A
    3
    B
    4
    C
    2
    D
    5

  • Find the incorrect pair of statements : (i) Two matrices A and B of same order are equivalent if rho(A)=rho(B) (ii) |adj A|=|A|^(n-1) where n is the order of the matrix. (iii) A(adj A)=|A|^(2)I (iv) If A and B are two square matrices of order 3 than AB = BA.

    A
    (i) and (ii)
    B
    (iii) and (iv)
    C
    (i) and (iii)
    D
    (ii) and (iv)

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    Let matrix A=[{:(x,y,-z),(1,2,3),(1,1,2):}] , where x,y,z in N . If |adj(adj(adj(adjA)))|=4^(8)*5^(16) , then the number of such (x,y,z) are

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