EMLA Q.61

0. Eigen vectors of the matrix

Eigen vectors of the matrix

is (are)

  • Option : D
  • Explanation : Eigen value are roots of the equation

    Linear Algebra

    i.e. (1 - a)2 - 1 = 0

     a2 - 2a = 0

     a = 0  or a = 2

    when a = 0

    Linear Algebra

    this gives x = y

    when a = 2,

    Linear Algebra

    This gives x = -y

    Hence, eigen vectors corresponding to 0 and 2 are 

       Linear Algebra

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