Solving Eigenvector Order Homework

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SUMMARY

The discussion revolves around solving for eigenvectors of the matrix A = [[2, -2], [-2, 5]] with eigenvalues 6 and 1. The user initially questions the order of the eigenvectors, as their calculated results differ from those presented in their textbook. Upon further examination, the user realizes that the discrepancy was due to a misreading of the book, confirming that the correct eigenvectors are indeed (1/√5, 2/√5) and (2/√5, 1/√5) in the specified order.

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Homework Statement



A =
2 -2
-2 5

Eigenvalues are: 6, 1

Find eigenvectors. My only question is about order. My book lists them in the opposite order as I and I am not sure where I went wrong.

Homework Equations



A =
2 -2
-2 5

Eigenvalues are: 6, 1

The Attempt at a Solution



i..e for 1:
1λ1 -2λ2 = 0
λ1 = 2λ2
= (2λ2)/(λ2)

Let λ2 = 1

= 2/√5, 1/√5

Yet my book lists them as 1/√5, 2/√5. Why is this?
 
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EDIT: Never mind, I was misreading the book. Answer found.
 

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