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If X is a square matrix of order 3 × 3 and lambda is a scalar, then adj (lambda X right parenthesis is equal to

Maths-General

  1. lambda a d j X    
  2. lambda to the power of 3 end exponent a d j X    
  3. lambda to the power of 2 end exponent a d j X    
  4. lambda to the power of 4 end exponent a d j X    

    Answer:The correct answer is: lambda to the power of 2 end exponent a d j XBy fundamental property, a d j left parenthesis lambda X right parenthesis equals lambda to the power of n minus 1 end exponent left parenthesis a d j X right parenthesis.
    Here n equals 3
    \a d j left parenthesis lambda X right parenthesis equals lambda to the power of 3 minus 1 end exponent left parenthesis a d j X right parenthesis
    a d j left parenthesis lambda X right parenthesis equals lambda to the power of 2 end exponent left parenthesis a d j X right parenthesis.

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