refer to image below Convert the following column vectors into a matrix \( A \), and then compute the determinant of \( A \).\[\vec{v}_1 = \begin{bmatrix} -3 \\ 2 \\ 3 \end{bmatrix}, \quad \vec{v}_2 = \begin{bmatrix} 4 \\ 5 \\ -4 \end{bmatrix}, \quad \vec{v}_3 = \begin{bmatrix} 1 \\ 3 \\ -4 \end{bmatrix}\]\[\text{det}(A) = \boxed{\phantom{0}}\]This requires you to organize the vectors as columns of a 3x3 matrix \( A \), and then calculate the determinant of the resulting matrix.

The column vectors are v1→=-333, v2→=45-4, v3→=13-4

Answered: nvert the following column vectors into…

nvert the following column vectors into a matrix A, and then compute the determinant of A. 4 71 det (A) 3 2 3 " V₂ 4 V3 = 1

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

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refer to image below

Convert the following column vectors into a matrix \( A \), and then compute the determinant of \( A \).

\[
\vec{v}_1 = \begin{bmatrix} -3 \\ 2 \\ 3 \end{bmatrix}, \quad
\vec{v}_2 = \begin{bmatrix} 4 \\ 5 \\ -4 \end{bmatrix}, \quad
\vec{v}_3 = \begin{bmatrix} 1 \\ 3 \\ -4 \end{bmatrix}
\]

\[
\text{det}(A) = \boxed{\phantom{0}}
\]

This requires you to organize the vectors as columns of a 3x3 matrix \( A \), and then calculate the determinant of the resulting matrix.

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