consistent 9. Consider the m-by-n linear system [A | b], where RREF[A | b] has exactly r pivots. Which of the following conditions is sufficient to gurantee that the linear system has a unique solution? (a) r = n () г
consistent 9. Consider the m-by-n linear system [A | b], where RREF[A | b] has exactly r pivots. Which of the following conditions is sufficient to gurantee that the linear system has a unique solution? (a) r = n () г
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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![Consistent
9. Consider the m-by-n linear system [A | b], where RREF[A | b] has exactly r pivots. Which of the
following conditions is sufficient to gurantece that the linear system has a unique solution?
(a) r = n
(b) r < n
(c) r = m
(d) r < m
10. How many ordered pairs of numbers (a, b) are there so that the linear system
х+ ау — 4
ax + 9y = b
has infinitely many solutions?
(a) none
(b) 1
(c) 2
(d) 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9be08d7-b2ce-4233-945e-baff76f40c8b%2Fc4983f50-9ff8-441b-af4c-690b1f42404a%2Fa6h54si_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consistent
9. Consider the m-by-n linear system [A | b], where RREF[A | b] has exactly r pivots. Which of the
following conditions is sufficient to gurantece that the linear system has a unique solution?
(a) r = n
(b) r < n
(c) r = m
(d) r < m
10. How many ordered pairs of numbers (a, b) are there so that the linear system
х+ ау — 4
ax + 9y = b
has infinitely many solutions?
(a) none
(b) 1
(c) 2
(d) 3
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