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A. A 5 x 7 matrix may have up to seven linear independent columns. B. If A is a 65 x 17 matrix of rank 10, then there are 10 linear independent vectors that satisfy A"y = 0. C. Let A is a 65 x 17 matrix of rank 17. Then if ATy = b is consistent, then it has a unique solution.

A. A 5 x 7 matrix may have up to seven linear independent columns. B. If A is a 65 x 17 matrix of rank 10, then there are 10 linear independent vectors that satisfy A"y = 0. C. Let A is a 65 x 17 matrix of rank 17. Then if ATy = b is consistent, then it has a unique solution.

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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Correct statements A, B, C, and D to make them accurate.

A. A 5 x 7 matrix may have up to seven linear independent columns. B. If A is a 65 x 17 matrix of rank 10, then there are 10 linear independent vectors that satisfy ATy = 0. C. Let A is a 65 x 17 matrix of rank 17. Then if A"y = b is consistent, then it has a unique solution. D. Let A is a 65 x 17 matrix of rank 17. Then if Ax = b is consistent, then it has infinitely many solution.
Transcribed Image Text:A. A 5 x 7 matrix may have up to seven linear independent columns. B. If A is a 65 x 17 matrix of rank 10, then there are 10 linear independent vectors that satisfy ATy = 0. C. Let A is a 65 x 17 matrix of rank 17. Then if A"y = b is consistent, then it has a unique solution. D. Let A is a 65 x 17 matrix of rank 17. Then if Ax = b is consistent, then it has infinitely many solution.
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