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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.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.7: Solving Systems With Inverses
Problem 4SE: Can a matrix with an entire column of zeros have an inverse? Explain why or why not.
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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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