Let's solve the system of linear equations [ 3 ⋅ x₁ + 6 · x₂ = −15 2 x14x2 = 30 using Gaussian elimination. First transform the system into matrix form Ax = b where A is the coefficient matrix, x = and b contains the constant terms on the right side of the equations. Input the augmented matrix [A]b] as the first intermediate step: Next compute the reduced row echelon form of the augmented matrix using row operations. Input the resulting matrix rref [Alb]: From this matrix we can deduce the amount the solutions to the system and the solutions themselves. Input the number of solutions to the system. If there are an infinite number of solutions, input inf.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let's solve the system of linear equations
3.x₁ +6.x₂
2. x₁-4.x₂
=-15
= 30
using Gaussian elimination. First transform the system into matrix form Ax = b where A is the coefficient matrix, x =
and b contains the constant terms on the right side of the equations.
Input the augmented matrix [A]b] as the first intermediate step:
Next compute the reduced row echelon form of the augmented matrix using row operations. Input the resulting matrix
rref [Ab]:
x1
x2
From this matrix we can deduce the amount the solutions to the system and the solutions themselves. Input the number of
solutions to the system. If there are an infinite number of solutions, input inf.
Transcribed Image Text:Let's solve the system of linear equations 3.x₁ +6.x₂ 2. x₁-4.x₂ =-15 = 30 using Gaussian elimination. First transform the system into matrix form Ax = b where A is the coefficient matrix, x = and b contains the constant terms on the right side of the equations. Input the augmented matrix [A]b] as the first intermediate step: Next compute the reduced row echelon form of the augmented matrix using row operations. Input the resulting matrix rref [Ab]: x1 x2 From this matrix we can deduce the amount the solutions to the system and the solutions themselves. Input the number of solutions to the system. If there are an infinite number of solutions, input inf.
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