For each system: 1. Write out the augmented matrix. 2. Row reduce the matrix to echelon form. 3. Determine all values of k for which the corresponding system has a: a) unique solution b) no solution c) infinite solutions Not all three are necessarily valid for every system. “There is no value of k that gives a unique solution” is a possible answer for part a for instance. 3x+2y=0 6x+ky=0
For each system: 1. Write out the augmented matrix. 2. Row reduce the matrix to echelon form. 3. Determine all values of k for which the corresponding system has a: a) unique solution b) no solution c) infinite solutions Not all three are necessarily valid for every system. “There is no value of k that gives a unique solution” is a possible answer for part a for instance. 3x+2y=0 6x+ky=0
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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Activity 3.2 solving linear system M3280
For each system:
1. Write out the augmented matrix.
2. Row reduce the matrix to echelon form.
3. Determine all values of k for which the corresponding system has a:
-
a) unique solution
-
b) no solution
-
c) infinite solutions
Not all three are necessarily valid for every system. “There is no value of k that gives a unique solution” is a possible answer for part a for instance.
3x+2y=0
6x+ky=0
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Step 1: Formula used and given.
VIEWStep 2: Write the augmented matrix of given system.
VIEWStep 3: Reduce the augmented matrix to row reduced echolon form.
VIEWStep 4: Find the values of k which the system has unique solution.
VIEWStep 5: Find the values of k for which the system has infinitely many solution.
VIEWStep 6: Find the value of k for which the system has no solution.
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