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1. Decide whether each question below is true or false; T refers to a matrix nsformation. Explain your thinking. a. If T: R³ →R² then it's possible that T(x)=b has solutions for all vectors b. b. If T: R² → R³ then it's possible that T(x) = b has solutions for all vectors b. c. If T: R³ → R² then 7(x)=0 has an infinite number of solutions.

1. Decide whether each question below is true or false; T refers to a matrix nsformation. Explain your thinking. a. If T: R³ →R² then it's possible that T(x)=b has solutions for all vectors b. b. If T: R² → R³ then it's possible that T(x) = b has solutions for all vectors b. c. If T: R³ → R² then 7(x)=0 has an infinite number of solutions.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Decide whether each question below is true or false; T refers to a matrix transformation. Explain your thinking. a. If T : R³ → R² then it's possible that T(x)=b has solutions for all vectors b. b. If T: R² → R³ then it's possible that T(x)=b has solutions for all vectors b. c. If T: R³ R² then 7(x)=0 has an infinite number of solutions.
Transcribed Image Text:1. Decide whether each question below is true or false; T refers to a matrix transformation. Explain your thinking. a. If T : R³ → R² then it's possible that T(x)=b has solutions for all vectors b. b. If T: R² → R³ then it's possible that T(x)=b has solutions for all vectors b. c. If T: R³ R² then 7(x)=0 has an infinite number of solutions.
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