Solution Found!
Consider the linear transformation T : Mnn Mnn defined by T (X) = XT. Find its
Chapter 6, Problem 12(choose chapter or problem)
Consider the linear transformation T : Mnn Mnn defined by T (X) = XT. Find its eigenvalues and the corresponding eigenspaces. (Hint: Consider the equationXT = X.)
Questions & Answers
QUESTION:
Consider the linear transformation T : Mnn Mnn defined by T (X) = XT. Find its eigenvalues and the corresponding eigenspaces. (Hint: Consider the equationXT = X.)
ANSWER:Problem 12
Consider the linear transformation defined by . Find its eigenvalues and corresponding eigenspaces.
Step by Step Solution
Step 1 of 2
Given linear transformation is defined by .
Let be an eigenvalue of this linear transformation. Then,
Hence, eigenvalues of the given linear transformation is 1 or -1.