1. Show that every eigenvector of f is also an eigenvector of ffo f(composition). 2. Does any eig...

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1. Show that every eigenvector of f is also an eigenvector of ffo f(composition). 2. Does any eigenvector of f2 also an eigen

math Advanced-Math

Answer 1

Answer #1

1).LET 'a' be eigen value corresponding to eigen vector 'X' of 'f' then:

fX=aX

=> f²X=f(aX)=a(fX)=a(aX)=a²X

Thus X is also eigen vector of f² corresponding to eigen value 'a²'..

2)No, this is not true:

COUNTER EXAMPLE IS IN Picture below:

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Answer 2

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