EMLA Q.47

0. An arbitary vector X is an eigen vector of the matrix

An arbitary vector X is an eigen vector of the matrix

then (a,b)=

  • Option : B
  • Explanation : Since matrix is triangular, the eigen values are a, a, b.

    (X1,X2,X3) is an arbitary eigen vector, say corresponding to 1, then

    Linear algebra

    X2 Xbeing not zero, we have

    X= X; aX=  X2

    which gives a = 1

    and bX3 = X3

    which gives b - 1

     (a, b) = (1, 1)

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