Please solve Linear Algebra problem and show all work. Determine if the given system is consistent. Do not completely solve the system.2x1- 8X42X2+ 2x3== 0X3 8x4+ 8X_ =- 5x₁ +3x₂ +5x3 + x4 =- 20Choose the correct answer below.136O A. The system is inconsistent.O B. The system is consistent.O C. It is impossible to determine whether the system is consistent.

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Answered: Determine if the given system is…

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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Please solve Linear Algebra problem and show all work.

Determine if the given system is consistent. Do not completely solve the system.
2x1
- 8X4
2X2
+ 2x3
=
= 0
X3 8x4
+ 8X_ =
- 5x₁ +3x₂ +5x3 + x4 =
- 20
Choose the correct answer below.
13
6
O A. The system is inconsistent.
O B. The system is consistent.
O C. It is impossible to determine whether the system is consistent.

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.

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