SOLUTION: For the following linear operator T on the vector space V, test T for diagonalizability, and if T is diagonalizable, find a basis B for V such that [T]B is a diagonal matrix.
V= M
Algebra ->
College
-> Linear Algebra
-> SOLUTION: For the following linear operator T on the vector space V, test T for diagonalizability, and if T is diagonalizable, find a basis B for V such that [T]B is a diagonal matrix.
V= M
Log On
Question 5792: For the following linear operator T on the vector space V, test T for diagonalizability, and if T is diagonalizable, find a basis B for V such that [T]B is a diagonal matrix.
V= M(2x2)(R) and T is defined by T(A) = A^t. Answer by khwang(438) (Show Source):
You can put this solution on YOUR website! T is diagonalizable iff the set of all eigenvectors can generate the whole
vector space. (That is : try to find a basis consisting of eigenvectors)
I cannot tell you more, since it seems that you did not ask this
high level question seriously and posted your question in
a very sloppy way.
Moreover, you insult your own question with other baby level problems
[Where nobody understanding linear algebra.]
Kenny
(