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Is $\left[\begin{array}{r}{4} \\ {-3} \\ {1}\end{array}\right]$ an eigenvector of $\left[\begin{array}{rrr}{3} & {7} & {9} \\ {-4} & {-5} & {1} \\ {2} & {4} & {4}\end{array}\right] ?$ If so, find the eigenvalue.

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Calculus 3

Chapter 5

Eigenvalues and Eigenvectors

Section 1

Eigenvectors and Eigenvalues

Vectors

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Let's just start and multiplier Victor with the matrix and see if you get a multiple of the vector or no, you. So first rule is this, and our victor is our second rule is and the total is so when you multiply, we get that the first gentry off the three by one vector is zero do and and the strange across very four year. So the second entry should be minus 16 plus 15 plus one, which is zero. I'm so sorry. This is the and the third entry is it minus trail, which is negative for past 40 Okay, so So this depends on your definition off Eigen value. If you force that your Eigen value should be non zero, then this is not equal to lender times or negative 31 for any non zero, Linda, because ofcourse, Lambda has too busy. But if you include your lender to zero in the definition, then you can say that this is an Eigen vector with zero as a ***. So I would recommend Just look back in the textbook and see what their definition of wagon value is worse. A second victor, if they include Aiken value Toby zero than it is an argument

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