Linear Algebra : Linear transformations, Diagaonalization and Adjoints
Not what you're looking for? Search our solutions OR ask your own Custom question.
Let V be a , but with the weighted inner product, ,
,where and . Let be the linear transformation given by T(a,b,c)=(3a-2c,b,3a+10c).
a. Show that T can be diagonalized and find a basis for V comprised of eigenvectors of T.
b. Find the matrix of the adjoint of T with respect to the basis .
Please see the attached file for the fully formatted problems.
© BrainMass Inc. brainmass.com March 6, 2023, 3:40 pm ad1c9bdddfhttps://brainmass.com/math/linear-algebra/linear-algebra-linear-transformations-diagaonalization-adjoints-159299
Solution Preview
Please see the attached file for the complete solution.
Thanks for using BrainMass.
Proof:
(a) Since , then the matrix representation of , ...
Solution Summary
Linear transformations, Diagaonalization and Adjoints are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.
$2.49