Nemanjavuk69
Junior Member
- Joined
- Mar 23, 2022
- Messages
- 71
Hello
I am reading up on linear algebra and its applications 6 global edition by David C. Lay.
I am at chapter 5.3 where it talks about eigenvalues and eigenspace, and I am trying to solve excercise number 5 (Please look at the attached image file)
I also know that the answer is [math]\lambda=5: \begin{bmatrix} 1 &\\ 1 &\\ 1 \end{bmatrix}[/math]
[math]\lambda = 1: \begin{bmatrix} 1 &\\ 0 &\\ -1 \end{bmatrix}, \begin{bmatrix} 2 \\ -1 \\ 0 \end{bmatrix}[/math]
My question is now, where does the basis(answer) come from? Can anyone show me a computation of how the basis are being calculated? I seem to always get another basis when solving it myself.
I am reading up on linear algebra and its applications 6 global edition by David C. Lay.
I am at chapter 5.3 where it talks about eigenvalues and eigenspace, and I am trying to solve excercise number 5 (Please look at the attached image file)
I also know that the answer is [math]\lambda=5: \begin{bmatrix} 1 &\\ 1 &\\ 1 \end{bmatrix}[/math]
[math]\lambda = 1: \begin{bmatrix} 1 &\\ 0 &\\ -1 \end{bmatrix}, \begin{bmatrix} 2 \\ -1 \\ 0 \end{bmatrix}[/math]
My question is now, where does the basis(answer) come from? Can anyone show me a computation of how the basis are being calculated? I seem to always get another basis when solving it myself.