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## Homework Statement

I think I am evaluating a wrong value for eigen vector. Wrong in the sense that first row is giving different value and next row is giving a different value.

The matrix is:

[0 1]

[-2 -3]

My eigen values are λ=-1 & λ=-2. I get the fine vectors for λ=-1 but λ=-2 x vanishes.

## Homework Equations

A-λI = 0

& Ax = λx

## The Attempt at a Solution

[0 1] * [x] = -2 * [x]

[-2 -3] [y] [y]

First row gives: y = -2x -2y

2x = 3y

Now x = 2/3 y

μ =[2, 3] (instead of column, i am showing row vector)

But the second row gives me: -2x -3y = -2x -2y (therfore x vanishes)

they have evaluated

μ=[1, -2] (instead of column, i am showing row vector)

Some body please guide me.

Zulfi.

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