. Guided Proof Let be a basis for avector space Prove that
Chapter 6, Problem 6.83(choose chapter or problem)
. Guided Proof Let be a basis for avector space Prove that if a linear transformationsatisfies for thenis the zero transformation.Getting Started: To prove that is the zerotransformation, you need to show that forevery vector in(i) Let be an arbitrary vector in such that(ii) Use the definition and properties of lineartransformations to rewrite as a linearcombination of(iii) Use the fact that to conclude that, making the zero transformation
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