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let us consider a matrix of order 3 and find its maximum Eigen
value and the corresponding Eigen vector. The matrix is given
by
![](../images/lecture_08_03_04_1.gif)
the Eigen values for this matrix are 2,4,6 and the
corresponding Eigen vectors are [1   -1   1],[1   1   1] and
[1   1   -1]
respectively
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Assuming the initial estimate of the vector as [1 0 0] we get
the next estimate as shown
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the power method is very useful if the matrix order is large
and also if one is interested in finding a particular Eigen
value