Solve this linear algebra multiple choice question. Please whoe your work. Determine if the vectors41-85 and -566are linearly dependent or independent. Also determine if thevectors span R³ or not.OOOThe vectors are linearly independent and they do not span R³.The vectors are linearly dependent and they span R³.The vectors are linearly independent and they span R³. They form a basisfor R³.The vectors are linearly dependent and they do not spanR³.

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Answered: Determine if the vectors 1-A 5 and are…

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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Solve this linear algebra multiple choice question. Please whoe your work.

Determine if the vectors
4
1-8
5 and -5
6
6
are linearly dependent or independent. Also determine if the
vectors span R³ or not.
O
O
O
The vectors are linearly independent and they do not span R³.
The vectors are linearly dependent and they span R³.
The vectors are linearly independent and they span R³. They form a basis
for R³.
The vectors are linearly dependent and they do not span
R³.

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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