Find all solutions to the following system of linear equations:1x1+2x2+ -2x3Ox5-12x15x2+-3x3-2x51%3D-lx1+-1x2+4x3+-3x560x1+1x2+1x3+-2x53Note: if you see, for instance, + - 2 in the above system, then this simplifies to -2. Moreover, 1xı is justX1, etc.+s|+tIf there is only one free variable, let it be associated to the parameter s and write -99 as the entries of thelast vector. Do not leave the entries of that last vector empty.Il ||

The augmented matrix is given as 12-20-125-3-21-1-14-36011-23 Now convert it to row reduced echelon…

Find all solutions to the following system of linear equations: 1x1 + 2x2 + -2x3 + Oxs -1 %3D 2x1 + 5x2 -3x3 + -2x5 1 %3D -lx1 + -lx2 + 4x3 + -3x5 6. Ox1 + 1x2 1x3 + -2x5 3 Note: if you see, for instance, + - 2 in the above system, then this simplifies to -2. Moreover, 1x1 is just X1, etc. X = +s +t If there is only one free variable, let it be associated to the parameter s and write -99 as the entries of the last vector. Do not leave the entries of that last vector empty.

Find all solutions to the following system of linear equations: 1x1 + 2x2 + -2x3 + Oxs -1 %3D 2x1 + 5x2 -3x3 + -2x5 1 %3D -lx1 + -lx2 + 4x3 + -3x5 6. Ox1 + 1x2 1x3 + -2x5 3 Note: if you see, for instance, + - 2 in the above system, then this simplifies to -2. Moreover, 1x1 is just X1, etc. X = +s +t If there is only one free variable, let it be associated to the parameter s and write -99 as the entries of the last vector. Do not leave the entries of that last vector empty.

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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Question

Find all solutions to the following system of linear equations:
1x1
+
2x2
+ -2x3
Ox5
-1
2x1
5x2
+
-3x3
-2x5
1
%3D
-lx1
+
-1x2
+
4x3
+
-3x5
6
0x1
+
1x2
+
1x3
+
-2x5
3
Note: if you see, for instance, + - 2 in the above system, then this simplifies to -2. Moreover, 1xı is just
X1, etc.
+s
|+t
If there is only one free variable, let it be associated to the parameter s and write -99 as the entries of the
last vector. Do not leave the entries of that last vector empty.
Il ||

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