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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 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

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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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
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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