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48. Consider the matrix A = 2 -4 4 - 1 3 2 k -2 6 لیا (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. (c) If A is the coefficient matrix of a homogeneous system of linear equations, determine the number of equations and the number of variables. (d) If A is the coefficient matrix of a homogeneous system of linear equations, find the value(s) of k such that the system is consistent.

48. Consider the matrix A = 2 -4 4 - 1 3 2 k -2 6 لیا (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. (c) If A is the coefficient matrix of a homogeneous system of linear equations, determine the number of equations and the number of variables. (d) If A is the coefficient matrix of a homogeneous 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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48. Consider the matrix A = 2 -4 4 - 1 3 2 k -2 6 لیا (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. (c) If A is the coefficient matrix of a homogeneous system of linear equations, determine the number of equations and the number of variables. (d) If A is the coefficient matrix of a homogeneous system of linear equations, find the value(s) of k such that the system is consistent.
Transcribed Image Text:48. Consider the matrix A = 2 -4 4 - 1 3 2 k -2 6 لیا (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. (c) If A is the coefficient matrix of a homogeneous system of linear equations, determine the number of equations and the number of variables. (d) If A is the coefficient matrix of a homogeneous system of linear equations, find the value(s) of k such that the system is consistent.
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