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Given the determinants of the following matrices: 1-3 4 1 4 -3 -1 1 10 14 54 10 -6 -5 -2 5 1-5-65 1-2 3 1 3 -2 0 1 Find the (unique) solution to the following system: det x1-3x2-x3+x4 = 4 x₁+5x3+4x4 = 1 = -6 x1-2x2+x4 = 3 x1-5x2-2x3+5x4 X= =36, det 0 0 0 0 [1-3 -1 4 105 1 1 -5 -2 -6 1-2 0 3 =-27, det =-36, det 1 -3 -1 1 1 0 5 4 1 -5 -2 5 1-201 =9, det 1 1 1 4 -1 1 5 4 1-6-25 20 1 3 0 1 =-45

Given the determinants of the following matrices: 1-3 4 1 4 -3 -1 1 10 14 54 10 -6 -5 -2 5 1-5-65 1-2 3 1 3 -2 0 1 Find the (unique) solution to the following system: det x1-3x2-x3+x4 = 4 x₁+5x3+4x4 = 1 = -6 x1-2x2+x4 = 3 x1-5x2-2x3+5x4 X= =36, det 0 0 0 0 [1-3 -1 4 105 1 1 -5 -2 -6 1-2 0 3 =-27, det =-36, det 1 -3 -1 1 1 0 5 4 1 -5 -2 5 1-201 =9, det 1 1 1 4 -1 1 5 4 1-6-25 20 1 3 0 1 =-45

Advanced Engineering Mathematics
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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Given the determinants of the following matrices: 1-3 41 4 -3 -1 1 1054 -6 -5 -2 5 1-2 3 1 3 -2 0 1 Find the (unique) solution to the following system: det 1014 1-5-65 x1-3x2-x3+x4 =36, det = 4 x₁+5x3+4x4 = 1 x1-5x2-2x3+5x4 = -6 x1-2x2+x4 = 3 X= =-27, det 1 -3 -1 4 105 1 1 -5 -2 -6 1-2 0 3 =-36, det 5 1 -3 -1 1] 1054 1-5-25 1 -2 0 1] M =9, det 4 -1 1 1 1 5 4 1-6-25 1 3 0 1 =-45
Transcribed Image Text:Given the determinants of the following matrices: 1-3 41 4 -3 -1 1 1054 -6 -5 -2 5 1-2 3 1 3 -2 0 1 Find the (unique) solution to the following system: det 1014 1-5-65 x1-3x2-x3+x4 =36, det = 4 x₁+5x3+4x4 = 1 x1-5x2-2x3+5x4 = -6 x1-2x2+x4 = 3 X= =-27, det 1 -3 -1 4 105 1 1 -5 -2 -6 1-2 0 3 =-36, det 5 1 -3 -1 1] 1054 1-5-25 1 -2 0 1] M =9, det 4 -1 1 1 1 5 4 1-6-25 1 3 0 1 =-45
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