B = 3 -4 4 eigenvalue = -1
-2 1 -2
-4 4 -5
Find a basis for the eigenspace corresponding to the eigenvalue -1.
So far I have:
-1-3 -4 4
-2 -1-1 -2
-4 4 -1--5
-4 -4 4 (divde by row 2)
-2 -2 -2
-4 4 4 (divide by row 2)
2 2 -2
-2 -2 -2
2 -2 -2
I get here and this is where I get stuck.
B is the matrix.
The original matrix is:
3 -4 4
-2 1 -2
-4 4 -5
I then went to (-4, -4, 4) (-2, -2, -2)(-4, 4, 4) then reduced to (-1, -1, 1) (-2,-2,-2) (-4, 4, 4) to finally reducing to
1 -1 1
0 0 0
0 0 0
But how do I get the eigenvector