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If A=[{:(a,0,0),(0,a,0),(0,0,a):}] then ...

If `A=[{:(a,0,0),(0,a,0),(0,0,a):}]` then |adjA| = …….

A

`a^(27)`

B

`a^9`

C

`a^6`

D

`a^2`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If A=[{:(1,0,0),(0,1,0),(0,0,1):}] then A^(2)+2A = ……….

    A
    4A
    B
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    A
    `[{:(x^(-1),0,0),(0,y^(-1),0),(0,0,z^(-1)):}]`
    B
    `xyz[{:(x^(-1),0,0),(0,y^(-1),0),(0,0,z^(-1)):}]`
    C
    `1/(xyz)[{:(x,0,0),(0,1,0),(0,0,1):}]`
    D
    `1/(xyz)[{:(1,0,0),(0,1,0),(0,0,1):}]`

  • The matrix A=[{:(1,0,0),(0,2,0),(0,0,4):}] is a .......

    A
    identity matrix
    B
    symmetric matrix
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