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If A is a 3xx3 non - singular matrix ...

If A is a `3xx3 ` non - singular matrix and if |A| = 3 , then ` | (2A)^(-1)|`=

A

`1/24`

B

`1/3`

C

3

D

24

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If A is a 3xx3 nonsingular matrix and if |A|=3 , then |(2A)^(-1)|=

    A
    3
    B
    24
    C
    `1/(24)`
    D
    `1/3`
  • If A is 3xx 3 non- singular matrix and if |A |=3 then |(2A)^(-1) |=

    A
    `(1)/(24)`
    B
    `(1)/(3)`
    C
    ` 3`
    D
    `24`
  • If A is a 3xx 3 non-singular matrix such that A=A^-1 and |A| ne 1 , then |adj A|=

    A
    1
    B
    `|A|`
    C
    `|A|^3`
    D
    0
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    If A is a 3xx3 non -singular matrix , then det . [ adj .A] is equal to :

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