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KCET2017MathematicsDifferential Equations

If ( A ) is a square matrix of order ( 3 3 ), then ( | KA | ) is equal to

Options

  1. A( | KA | )
  2. B( K ²| ~A | )
  3. C( K ³| ~A | )
  4. D3K|A|

Correct answer

C. ( K ³| ~A | )

Step-by-step solution

Given that, matrix A of order 3 3 . We know that, for a matrix of order n n we have |K A|_ n n =K^ n |A| Here n=3 , we get |K A|_ 3 3 =K³|A|

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