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15. Suppose a 3 × 5 matrix A has three pivot columns. Is Col A = R³ ? Is Nul A = R² ? Explain your answers.

15. Suppose a 3 × 5 matrix A has three pivot columns. Is Col A = R³ ? Is Nul A = R² ? Explain your answers.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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15. Suppose a 3 x 5 matrix A has three pivot columns. Is Col A = R³ ? Is Nul A = R² ? Explain your answers.
Transcribed Image Text:15. Suppose a 3 x 5 matrix A has three pivot columns. Is Col A = R³ ? Is Nul A = R² ? Explain your answers.
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