IF i have a T-invariant subspace U with dim containing the vector
v=
| -2 4 |
| 4 -2 |
with basis B=
| 1 0 |, | 1 1 |, | 1 1 |, | 1 1 |
| 0 0 | | 0 0 | | 0 1 | | 1 1 |
And =
| 7 8 2 -8 |
|-3 -4 -2 8 |
|-3 -6 -5 -5 |
| 1 1 5 12 |
And i need to find a basis for the T-invariant subspace, how do i approach this..
Ive been trying to find T(u)..
but i dont know where im screwing up.. ive been using this.. to get to T(u)
witt
| a+ b +c +d|
| b+c+d |
| d |
| c+ d |