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Let A be a matrix of order 3 × 3 and | A | = 5 . If | 2 a d j ( 3 A a d j ( 2 A ) ) | = 2 α ⋅ 3 β ⋅ 5 γ α , β , γ ∈ N then α + β + γ  is equal to

Option 1 -

25

Option 2 -

26

Option 3 -

27

Option 4 -

28

0 4 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    a month ago
    Correct Option - 3


    Detailed Solution:

    : ? 2 adj ( 3 A  adj(2A))|
    = 2 3 . ? 3 A adj(2A)| 2

    = 2 3 ⋅ 3 3 2 ⋅ | A | 2 ⋅ | a d j ( 2 A ) | 2  intersect the line = 2 3 ⋅ 3 6 ⋅ | A | 2 ⋅ | 2 A | 2 2 at the point

    = 2 3 ⋅ 3 6 ⋅ | A

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V
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Kindly go through the solution 

 

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