3x3. Solve the system -3x6x+5y -4z-2y +4z+y-8z= 0= 0.= 0

Inverse matrix method: and Since, does not exist, the system has either infinitely many solutions…

Answered: 3x +5y F. Solve the system -3x-2y 6x +y…

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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Related questions

Question

3x
3. Solve the system -3x
6x
+5y -4z
-2y +4z
+y
-8z
= 0
= 0.
= 0

Expert Solution

Step 1: Evaluation using Inverse matrix method

Inverse matrix method:

$A equals open square brackets table row 3 5 cell negative 4 end cell row cell negative 3 end cell cell negative 2 end cell 4 row 6 1 cell negative 8 end cell end table close square brackets$ and $open vertical bar A close vertical bar equals open vertical bar table row 3 5 cell negative 4 end cell row cell negative 3 end cell cell negative 2 end cell 4 row 6 1 cell negative 8 end cell end table close vertical bar equals 0$

Since, $A to the power of negative 1 end exponent$ does not exist, the system has either infinitely many solutions or no solution.

Therefore, using Gauss-Jordan Elimination method to obtain a more detailed solution.