answer true if the statementis always true and false otherwise. In the case ofa true statement, explain or prove your answer. In thecase of a false statement, give an example to show thatthe statement is not always true. Let L: Rn → Rn be a linear transformation. If L (x1) = L (x2), then the vectors x1 and x2 must be equal.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 15E
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answer true if the statement
is always true and false otherwise. In the case of
a true statement, explain or prove your answer. In the
case of a false statement, give an example to show that
the statement is not always true. Let L: Rn → Rn be a linear transformation. If
L (x1) = L (x2), then the vectors x1 and x2 must
be equal.

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