Linear system linear algebra Find the solution to the given linear system. If the system does not have a unique solution choose "no solution"or "infinitely many solutions".I – 3y2x - 6y13(x, y) =PreviewONo solution.OInfinitely Many Solutions.

Answered: Find the solution to the given linear…

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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Linear system linear algebra

Find the solution to the given linear system. If the system does not have a unique solution choose "no solution"
or "infinitely many solutions".
I – 3y
2x - 6y
13
(x, y) =
Preview
ONo solution.
OInfinitely Many Solutions.

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

Expert Solution

Checking if the solution of given system exists or not

We are given the system of linear equations,

$x - 3 y = 5 - - (1) 2 x - 6 y = 13 - - - (2)$

On dividing (2) on both sides by 2, we have

$x - 3 y = \frac{13}{2} - - - (3)$

From (1) and (3)

$x - 3 y = 5 a n d x - 3 y = \frac{13}{2}$ , which is a contradiction,

Hence the System of equations has no solution.

Moreover,

$\frac{1}{2} = \frac{3}{6} \neq \frac{5}{13}$

Hence, the System of equations has no solution.

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