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9. Consider the matrix -1 3 A = -4 2 k 4 -2 6. (a) If A is the augmented matrix of a system of linear equations, determine the number of equations and the number of variables. (b) If A is the augmented matrix of a system of linear equations, find the value(s) of k such that the system is consistent.

9. Consider the matrix -1 3 A = -4 2 k 4 -2 6. (a) If A is the augmented matrix of a system of linear equations, determine the number of equations and the number of variables. (b) If A is the augmented matrix of a system of linear equations, find the value(s) of k such that the system is consistent.

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 matrix 2 -1 A = k -2 6. (a) If A is the augmented matrix of a system of linear equations, determine the number of equations and the number of variables. (b) If A is the augmented matrix of a system of linear equations, find the value(s) of k such that the system is consistent.
Transcribed Image Text:9. Consider the matrix 2 -1 A = k -2 6. (a) If A is the augmented matrix of a system of linear equations, determine the number of equations and the number of variables. (b) If A is the augmented matrix of a system of linear equations, find the value(s) of k such that the system is consistent.
1 Xi + x2 + x3 5. Find the value of k for which the system of equations 3x1 – x2 – x3 X1 + 5x2 + 5x3 = 4 is inconsistent = k
Transcribed Image Text:1 Xi + x2 + x3 5. Find the value of k for which the system of equations 3x1 – x2 – x3 X1 + 5x2 + 5x3 = 4 is inconsistent = k
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