Consider the linear system3x1-6x2+3x3+9x432x1-3x2+3x3+4x44-1-3x1+7x2 -2x3 -10x41-2 131112 2The REF of the augmented matrix is:0 0 1OFalseOTruex1 and r4 are the leading variables, while x2 and æ3 are the free variablesOFalseOTrueThe solution set is {(5 – 3a, a, 2 – a, 0), Va e R}OFalseOTrue

To find whether the given statements are true or false Given that 3x1-6x2+3x3+9x4=3…

Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2x3 -10x4 -1 1 -2 1 3 1 | The REF of the augmented matrix is: 1 1 2 2 0 0 1 OTrue OFalse x1 and æ4 are the leading variables, while æ2 and x3 are the free variables OTrue OFalse The solution set is {(5 – 3a, a, 2 – a, 0), Va e R} OTrue OFalse

Consider the linear system 3x1 -6x2 +3x3 +9x4 3 2x1 -3x2 +3x3 +4x4 4 -3x1 +7x2 -2x3 -10x4 -1 1 -2 1 3 1 | The REF of the augmented matrix is: 1 1 2 2 0 0 1 OTrue OFalse x1 and æ4 are the leading variables, while æ2 and x3 are the free variables OTrue OFalse The solution set is {(5 – 3a, a, 2 – a, 0), Va e R} OTrue OFalse

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

Consider the linear system
3x1
-6x2
+3x3
+9x4
3
2x1
-3x2
+3x3
+4x4
4
-1
-3x1
+7x2 -2x3 -10x4
1
-2 1
3
1
1
1
2 2
The REF of the augmented matrix is:
0 0 1
OFalse
OTrue
x1 and r4 are the leading variables, while x2 and æ3 are the free variables
OFalse
OTrue
The solution set is {(5 – 3a, a, 2 – a, 0), Va e R}
OFalse
OTrue

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