EMLA Q.42

0. Rank of the matrix  Rank of the matrix 

is

  • Option : C
  • Explanation : Given matrix A possesses a minor of order 3,

    Linear Algebra

     

    Replacing 

    Linear Algebra Linear Algebra

    expanding with respect to R1

    = 2(-14) - (4)(-2)

    = -28  + 8  0  

    Linear Algebra

     .............................................(i)

    Also A does not possess any minor of order 4, i.e. 3 + 1

     ..................................................(ii)

    From Equations (i) and (ii), we get

    p(A) = 3 i.e. rank of A is 3.

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