6. General Rank Nullity states: If T:VW is a linear transformation and V is finite-dimensional, then dim[Ker(T)]+dim[Rng(T)]=dim[V]. Use this information to answer the following questions: Suppose that the Kernel of T was a 2-dimensional subspace of RS and W is R³. a. What is V? b. Is T onto, explain how you know? C. Is T one-to-one? Explain how you know.
6. General Rank Nullity states: If T:VW is a linear transformation and V is finite-dimensional, then dim[Ker(T)]+dim[Rng(T)]=dim[V]. Use this information to answer the following questions: Suppose that the Kernel of T was a 2-dimensional subspace of RS and W is R³. a. What is V? b. Is T onto, explain how you know? C. Is T one-to-one? Explain how you know.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.FOM: Focus On Modeling: Computer Graphics
Problem 4P: a Let T=[3001]. What effect does T have on the gray square in Table 1? b Let S=[1002]. What effect...
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