Use Cramer’s Rule to solve (if possible) the system of linear equations. + 5х,2x1 + 3x,5x23xЗх, + 5х, + 9хз5x, + 9х, + 17хs4%3D7%3D— 13

Answered: + 5х, 2x1 + 3x, 5x2 3x Зх, + 5х, + 9хз…

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

Use Cramer’s Rule to solve (if possible) the system of linear equations.

+ 5х,
2x1 + 3x,
5x2
3x
Зх, + 5х, + 9хз
5x, + 9х, + 17хs
4
%3D
7
%3D
— 13

Expert Solution

Step 1

We can write the given system of linear equations in 3 variables i.e., $x_{1}, x_{2}, x_{3}$ , in the matrix form as:

$[\begin{matrix} 2 & 3 & 5 \\ 3 & 5 & 9 \\ 5 & 9 & 17 \end{matrix}] [\begin{matrix} x_{1} \\ x_{2} \\ x_{3} \end{matrix}] = [\begin{matrix} 4 \\ 7 \\ 13 \end{matrix}]$

We have to find the solution (if exists) of the given system i.e., we have to find the values of $x_{1}, x_{2}, x_{3}$

using the Cramer's rule.

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