Suppose T E L(U,V) and S € L(V, W) are both invertible linear maps. Prove that ST E L(U, W) is invertible and that (ST)¯¹ = T-¹S-¹.
Suppose T E L(U,V) and S € L(V, W) are both invertible linear maps. Prove that ST E L(U, W) is invertible and that (ST)¯¹ = T-¹S-¹.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 5EQ: In Exercises 1-12, determine whether T is a linear transformation.
5. T:Mnn→ ℝ defined by...
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