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## Homework Statement

A =

2 -2

-2 5

Eigenvalues are: 6, 1

**. 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.**

**Find eigenvectors**## 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?