Let A be a 3 x 3 matrix in the linear system Ax = b. If A has rank 2, and rank of augmented [A| b] is 3, determine if the system is consistent or inconsistent; if it is consistent, how many solutions does it have? a) consistent; one solution b) consistent; infinitely many solutions c) consistent; two solutions d) inconsistent; infinitely many solutions e) None of these choices

Let A be a 3 x 3 matrix in the linear system Ax = b. If A has rank 2, and rank of augmented [A| b] is 3, determine if the system is consistent or inconsistent; if it is consistent, how many solutions does it have? a) consistent; one solution b) consistent; infinitely many solutions c) consistent; two solutions d) inconsistent; infinitely many solutions e) None of these choices

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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Question

Let A be a 3 x 3 matrix in the linear system Ax = b. If A has rank 2, and rank of augmented [A| b] is 3, determine if the system is
consistent or inconsistent; if it is consistent, how many solutions does it have?
a) consistent; one solution
b) consistent; infinitely many solutions
c) consistent; two solutions
d) inconsistent; infinitely many solutions
e) None of these choices

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