Please solve Linear Algebra problem and show all work. Determine if the given system is consistent. Do not completely solve the system.82X14x1-3x2+4x3=- 3x4 =+ 4x3 +2×4 = 43+ 9x4 = -4Choose the correct answer below.O A. The system is consistent because the system can be reduced to a triangular form that indicates that a solution exists.OB. The system is inconsistent because the system cannot be reduced to a triangular form.OC. The system is inconsistent because the system can be reduced to a triangular form that contains a contradiction.O D. The system is consistent because the system can be reduced to a triangular form that indicates that no solutions exist.

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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.
8
2X1
4x1
-3x2
+4x3
=
- 3x4 =
+ 4x3 +2×4 = 4
3
+ 9x4 = -4
Choose the correct answer below.
O A. The system is consistent because the system can be reduced to a triangular form that indicates that a solution exists.
OB. The system is inconsistent because the system cannot be reduced to a triangular form.
OC. The system is inconsistent because the system can be reduced to a triangular form that contains a contradiction.
O D. The system is consistent because the system can be reduced to a triangular form that indicates that no solutions exist.

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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