- #1

nhrock3

- 415

- 0

so

dim Im(T+I)=dim Ker(3I-T)=2

prove that T-I is isomorphic

first of all i couldn't understand the first equation

because T is a transformation which is basicly a function

but I is the identity matrices

so its like adding kilograms to tempreture.

then my prof told me that here I is a transformation too

that its not a matrix

its the identity transformation.

and i was told that i need to get the eigenvectors from there

so i told him

"how i don't have any matrix here to do

|A-labdaI|=0

i don't have any matrices only some transformation

which i don't have even the formula to T in order to get the representing matrices out if it

how to find eigen vectors from here

?

and how to proceed in order to prove that

T-I

is isomorphic

?