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Let Q be a 5 x 5 matrix with 5 pivot positions. a. Are the rows of Q linearly independent? No Yes Need more information (could be either) b. Are the columns of Q linearly independent? No Yes Need more information (could be either) c. How many solutions does Qv = 0 have? Zero One Infinitely many Need more information (could be more than one of these) b have for each b? = d. How many solutions does Qv Zero One O Infinitely many O Need more information (could be more than one of these)

Let Q be a 5 x 5 matrix with 5 pivot positions. a. Are the rows of Q linearly independent? No Yes Need more information (could be either) b. Are the columns of Q linearly independent? No Yes Need more information (could be either) c. How many solutions does Qv = 0 have? Zero One Infinitely many Need more information (could be more than one of these) b have for each b? = d. How many solutions does Qv Zero One O Infinitely many O Need more information (could be more than one of these)

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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Let Q be a 5 x 5 matrix with 5 pivot positions. a. Are the rows of Q linearly independent? No Yes Need more information (could be either) b. Are the columns of Q linearly independent? No Yes Need more information (could be either) c. How many solutions does Qv = 0 have? Zero One Infinitely many Need more information (could be more than one of these) b have for each b? = d. How many solutions does Qv Zero One O Infinitely many O Need more information (could be more than one of these)
Transcribed Image Text:Let Q be a 5 x 5 matrix with 5 pivot positions. a. Are the rows of Q linearly independent? No Yes Need more information (could be either) b. Are the columns of Q linearly independent? No Yes Need more information (could be either) c. How many solutions does Qv = 0 have? Zero One Infinitely many Need more information (could be more than one of these) b have for each b? = d. How many solutions does Qv Zero One O Infinitely many O Need more information (could be more than one of these)
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