EMLA Q.53

0. Sum of the eigen values of the matrix 

Sum of the eigen values of the matrix

for real and negative values of x is

  • Option : A
  • Explanation : Eigen values are given by the solution of equation

    Linear Algebra

    Since x is real and negative, put x = -k, where k is positive constant

    Linear Algebra

    Linear Algebra

    If λand λ2 be the solutions of the above equations then λand λare eigen values.

    Now sum of eigen values = sum of roots of the above equation

    Linear Algebra

    = 4 (> 0 )

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