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1. For a linear system 2x₁ +3x2-x₁ = 1 3x₁ − 4x2 +3x3 = −1 2x₁x2+x=-3 3x₁ + x2 − 2x3 = 4 (1)Find the ranks of the coefficient matrix and the augmented matrix, respectively. (2) Find 'all' solutions of the system of linear equations by Gauss-Elimination if possible. Explain your reason by using the result of (1) (3) Solve the following linear system by Cramer's Rule. 3x-2y+z 13 -2x+y+4z=11 x+4y-5z -31

1. For a linear system 2x₁ +3x2-x₁ = 1 3x₁ − 4x2 +3x3 = −1 2x₁x2+x=-3 3x₁ + x2 − 2x3 = 4 (1)Find the ranks of the coefficient matrix and the augmented matrix, respectively. (2) Find 'all' solutions of the system of linear equations by Gauss-Elimination if possible. Explain your reason by using the result of (1) (3) Solve the following linear system by Cramer's Rule. 3x-2y+z 13 -2x+y+4z=11 x+4y-5z -31

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
ChapterB: Graphical Analysis Of Planar Trusses
Section: Chapter Questions
Problem 8P
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1. For a linear system 2x₁ +3x2-x₁ = 1 3x₁ − 4x2 +3x3 = −1 2x₁x2+x=-3 3x₁ + x2 − 2x3 = 4 (1)Find the ranks of the coefficient matrix and the augmented matrix, respectively. (2) Find 'all' solutions of the system of linear equations by Gauss-Elimination if possible. Explain your reason by using the result of (1) (3) Solve the following linear system by Cramer's Rule. 3x-2y+z 13 -2x+y+4z=11 x+4y-5z -31
Transcribed Image Text:1. For a linear system 2x₁ +3x2-x₁ = 1 3x₁ − 4x2 +3x3 = −1 2x₁x2+x=-3 3x₁ + x2 − 2x3 = 4 (1)Find the ranks of the coefficient matrix and the augmented matrix, respectively. (2) Find 'all' solutions of the system of linear equations by Gauss-Elimination if possible. Explain your reason by using the result of (1) (3) Solve the following linear system by Cramer's Rule. 3x-2y+z 13 -2x+y+4z=11 x+4y-5z -31
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