1. a) Find all solutions of the linear system x1 + 2x2 + 2x3 +x4 = 14 -21 – 2x2 – 34 = -4 2x1 + 4x2 + 8T3 – 2x4 = 48. - by using Gauss- Jordan method.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Linear algebra question

1.
a)
Find all solutions of the linear system
21 + 2x2 + 2x3 +x4 = 14
-*1 – 2x2 – 3r4 = -4
2x1 + 4x2 + 8x3 – 2x4 = 48.
by using Gauss- Jordan method.
b)
For the given matrix:
-1
-1
2 -1
-1
2 -1
0 -1
a) Compute the determinant.
b) Calculate the rank.
Transcribed Image Text:1. a) Find all solutions of the linear system 21 + 2x2 + 2x3 +x4 = 14 -*1 – 2x2 – 3r4 = -4 2x1 + 4x2 + 8x3 – 2x4 = 48. by using Gauss- Jordan method. b) For the given matrix: -1 -1 2 -1 -1 2 -1 0 -1 a) Compute the determinant. b) Calculate the rank.
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