Problem 9. Let V be the vector space {B € M2(R)|B = B'}, and define the %3D matrices [1 1] P = 0 1 Define the linear transformations T :V →V and S :V →V by T(B) = PBP", S(B) = QBQ". %3D Show that S inverts T in the sense that S(T(B)) = B.
Problem 9. Let V be the vector space {B € M2(R)|B = B'}, and define the %3D matrices [1 1] P = 0 1 Define the linear transformations T :V →V and S :V →V by T(B) = PBP", S(B) = QBQ". %3D Show that S inverts T in the sense that S(T(B)) = B.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 6AEXP
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