EMLA Q.27

0. Given: matrix A=

The eigen vector corresponding to the smallest eigen value is

Given: matrix A=The eigen vector corresponding to the smallest eigen value is

  • Option : A
  • Explanation : For finding eigen vector corresponding to 1, 

    putting λ equal to 1. 

    Linear Algebra

    Rank of the coefficient matrix=

    = Number of non-zero diagonal elements

    = 2 < 3.

    Hence non-zero solution vector = 3 - 2 = 1 

    Linear Algebra

    These equation can be rewritten as

    Linear Algebra

    From these equations,

    Linear Algebra

    Linear Algebra

      Hence is the required eigen vector.

    Linear Algebra

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