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 (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 | x+ ay = 4 ax + 9y = b has infinitely many solutions? (a) none (b) 1 (c) 2 (d) 3
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 (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 | x+ ay = 4 ax + 9y = b has infinitely many solutions? (a) none (b) 1 (c) 2 (d) 3
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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9. Consider the consitent m-by-n linear system
![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
(b) г <n
(c) r = m
(d) r < m
10. How many ordered pairs of numbers (a, b) are there so that the linear system
x + ay = 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%2F7dd0cc08-5796-4764-8e3f-a0b4156a6f90%2F1b215d56-8ad2-4659-bdd1-c922d9dc08f9%2Fjw6t8og_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 gurantee that the linear system has a unique solution?
(a) r = n
(b) г <n
(c) r = m
(d) r < m
10. How many ordered pairs of numbers (a, b) are there so that the linear system
x + ay = 4
ax + 9y = b
has infinitely many solutions?
(a) none
(b) 1
(c) 2
(d) 3
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