Let B = {v1, v2, v3, v4} be a basis for a vector space L, and let
Question:
T(v1) = v1 + v2 + v3 + 3v4
T(v2) = v1 - v2 + 2v3 + 2v4
T(v3) = 2v1 - 4v2 + 5v3 + 3v4
T(v4) = -2v1 + 6v2 - 6v3 - 2v4
(a) Find the rank and nullity of T.
(b) Determine whether T is one-to-one.
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a We know that T can be thought of as multiplication by ...View the full answer
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Related Book For 
Elementary Linear Algebra with Applications
ISBN: 978-0471669593
9th edition
Authors: Howard Anton, Chris Rorres
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