12.1 Let V and W be vector spaces and : VW be a linear transformation. For v € V, prove that T(-v) = -T(v). 12.2 Let T: M₂2 M22 be defined by T(A) = A+AT. Show that T is a linear transformation.
12.1 Let V and W be vector spaces and : VW be a linear transformation. For v € V, prove that T(-v) = -T(v). 12.2 Let T: M₂2 M22 be defined by T(A) = A+AT. Show that T is a linear transformation.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 12EQ
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