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Is-the-vector-1-2-1-an-eigen-vector-of-3-6-7-3-3-7-5-6-5-if-sp-find-the-corresponding-eigen-value-




Question Number 129887 by zarawan last updated on 20/Jan/21
Is the vector  [(1),((−2)),(1) ]an eigen vector of  [(3,6,7),(3,3,7),(5,6,(5 )) ]? if sp find the corresponding eigen value?
Isthevector[121]aneigenvectorof[367337565]?ifspfindthecorrespondingeigenvalue?
Answered by Olaf last updated on 20/Jan/21
AX =  [(3,6,7),(3,3,7),(5,6,5) ] ((1),((−2)),(1) ) =  (((−2)),(4),((−2)) )  = −2 ((1),((−2)),(1) ) = −2X  ∃λ\ AX = λX  ⇒ X is a eigen vector of A  The corresponding eigen value is −2
AX=[367337565](121)=(242)=2(121)=2XλAX=λXXisaeigenvectorofAThecorrespondingeigenvalueis2

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