The solution of a system of linear equations in the variables z, y, and z using the Gauss-Jordan method is represented by the following augmented matrix: 1 0 15 9 0 1-4 1 00 0 4 (a) What is true for this system? The unique solution is (0, 0, 0) O There is no solution since the last row gives a contradiction, since 0 is not equal to 4 O There are inifintely many solutions since the last row has zeros O There are three solutions since there are three variables O There is a unique solution since the last colum has non-zero values (b) Write a solution for this system (if it exists) as a 3-tuple. If no solution exixts, enter "DNE". (x, y, z) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The solution of a system of linear equations in the variables z, y, and z using the Gauss-Jordan method is
represented by the following augmented matrix:
1 0 15 9
0 1-4
1
00 0 4
(a) What is true for this system?
The unique solution is (0, 0, 0)
O There is no solution since the last row gives a contradiction, since 0 is not equal to 4
O There are inifintely many solutions since the last row has zeros
O There are three solutions since there are three variables
O There is a unique solution since the last colum has non-zero values
(b) Write a solution for this system (if it exists) as a 3-tuple. If no solution exixts, enter "DNE".
(x, y, z) =
Transcribed Image Text:The solution of a system of linear equations in the variables z, y, and z using the Gauss-Jordan method is represented by the following augmented matrix: 1 0 15 9 0 1-4 1 00 0 4 (a) What is true for this system? The unique solution is (0, 0, 0) O There is no solution since the last row gives a contradiction, since 0 is not equal to 4 O There are inifintely many solutions since the last row has zeros O There are three solutions since there are three variables O There is a unique solution since the last colum has non-zero values (b) Write a solution for this system (if it exists) as a 3-tuple. If no solution exixts, enter "DNE". (x, y, z) =
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