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let us consider A to be a 4 x 4 square matrix having four Eigen
vectors v1,v2,v3,v4
and corresponding Eigen values t1,t4,t4,t4
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let vectorV0 be an initial estimate. Then
V0 = k1v1 + k2v2 + k3v3 + k4v4
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multiplying by A, we get
AV0 = k1Av1 + k2Av2 + k3Av3 + k4Av4
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since v1 is the Eigen vector corresponding to
the Eigen value t1
Av1 =
t1
v1 and
Av2 =
t2
v2 and so on
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thereforeAV0 =
k1t1v1 +
k2t2v2 +
k3t3v3 +
k4t4v4