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

Determine if the vectors 1-A 5 and are linearly dependent or independent. Also determine if the vectors span R³ or not. O The vectors are linearly independent and they do not span R³.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 46E

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Question

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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