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
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