Solve this multiple choice linear algebra question, please whoe your work. **Determine if the vectors**\[ \begin{bmatrix} 2 \\ -2 \\ 1 \end{bmatrix}, \begin{bmatrix} 1 \\ -3 \\ 2 \end{bmatrix}, \text{ and }\begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix} \]**are linearly dependent or independent. Also determine if the vectors span** \( \mathbb{R}^3 \) **or not.****Options:**- ☐ The vectors are linearly dependent and they do not span \( \mathbb{R}^3 \).- ☐ The vectors are linearly dependent and they span \( \mathbb{R}^3 \).- ☐ The vectors are linearly independent and they span \( \mathbb{R}^3 \). They form a basis for \( \mathbb{R}^3 \).- ☐ The vectors are linearly independent and they do not span \( \mathbb{R}^3 \).

Determine if the vectors 2 -2 1 " 1 2 " and 1 are linearly dependent or independent. Also determine if th vectors span R³ or not. The vectors are linearly dependent 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 independent and they do not span R³.

Determine if the vectors 2 -2 1 " 1 2 " and 1 are linearly dependent or independent. Also determine if th vectors span R³ or not. The vectors are linearly dependent 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 independent and they do not span R³.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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