(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find a basis and dimension for each eigenspace of the matrix:

4 2

3 3

2. Relevant equations

3. The attempt at a solution

I found the eigenvalues lambda = 1, 6. When trying to find the eigenspace for lambda = 1, I try to solve for x and y here:

|-3 -2| |x| = |0|

|-3 -2| |y| = |0|

I'm not sure how to do the matrix notation on here but I hope it is clear enough. Since I get the same equation twice in the system of equations, is this the right basis: span(-2/3, 1)?

edit: can someone also see if I did the basis for the 2nd eigenvalue (lambda = 6) correctly? I get the basis to be span(1, 1).

So each has dimension of 1

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# Homework Help: Finding basis for an eigenspace

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