Answered: The augmented matrix that corresponds…

The augmented matrix that corresponds to a system of linear equations in ₁ and T₂ is 1 3 2 7 -5 #₁ = Ex: 42 ₂= Ex: 42 -18

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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Question

Gaussian elimination

The augmented matrix that corresponds to a system of linear equations in #₁ and
T₂ is
1 2 7
[444]
-3 -5 -18
₁ Ex: 42
=
I₂ =
Ex: 42

Expert Solution

Step 1

The given augmented matrix is,

$[\begin{matrix} 1 & 2 \\ - 3 & - 5 \end{matrix} \begin{matrix} 7 \\ - 18 \end{matrix}]$ .

Argument matrix in the form $C = [A | B]$

To find the $x_{1}, a n d x_{2}$ we have to convert the argument matrix into the upper triangular matrix.

The upper triangular matrix is the matrix below diagonal elements all the elements are zero. It can be converted by using the operation.

Write the Argumented matrix in the form $A X = B$ and solve to get the solution of the linear equation by converting it into the equation.

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