Q1) solve the following linear systems by using Gauss elimination and Gauss-Jordan elimination. 3) x-y + 2z - w = -12x + y2z2w = -2 -x + 2y - 4z + w = 1 3x3w -3 -
Q1) solve the following linear systems by using Gauss elimination and Gauss-Jordan elimination. 3) x-y + 2z - w = -12x + y2z2w = -2 -x + 2y - 4z + w = 1 3x3w -3 -
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Q1) solve the following linear systems by using Gauss elimination
and Gauss-Jordan elimination.]
3)
х — у+ 22 — иw %3D—1 2x
+ y – 2z – 2w= -2
-x + 2y – 4z + w = 1
Зх— Зw 3 —3
-
4)
211- 12+ 313+ 414= 9
I1– 213 + 714= 11
311- 312+ 13+ 514= 8
211+ I2+ 413+ 414= 10
Q2) Determine the values of a for which the system has no
solutions, exactly one solution, or infinitely many solutions.
1)
х+ 2у — 3z %3 4
Зх — у + 5z %3D 2
4x + y + (a² – 14)z = a + 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5aa3f3f3-017c-45cb-a68b-3b6297709550%2F8f86598f-e947-41d9-a6ff-c642641af03f%2Frbsau1_processed.png&w=3840&q=75)
Transcribed Image Text:Q1) solve the following linear systems by using Gauss elimination
and Gauss-Jordan elimination.]
3)
х — у+ 22 — иw %3D—1 2x
+ y – 2z – 2w= -2
-x + 2y – 4z + w = 1
Зх— Зw 3 —3
-
4)
211- 12+ 313+ 414= 9
I1– 213 + 714= 11
311- 312+ 13+ 514= 8
211+ I2+ 413+ 414= 10
Q2) Determine the values of a for which the system has no
solutions, exactly one solution, or infinitely many solutions.
1)
х+ 2у — 3z %3 4
Зх — у + 5z %3D 2
4x + y + (a² – 14)z = a + 2
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