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,...
Related questions
Question
![If **u** and **v** are the vectors below, solve the following equation for the vector **x**.
\[
\mathbf{u} =
\begin{bmatrix}
4 \\
4 \\
-1 \\
\end{bmatrix}
\quad
\mathbf{v} =
\begin{bmatrix}
3 \\
-4 \\
2 \\
\end{bmatrix}
\]
\[
-3\mathbf{v} - \mathbf{u} - 2\mathbf{x} = \mathbf{v} - 2(2\mathbf{x} + 2\mathbf{u})
\]
\[
\mathbf{x} =
\begin{bmatrix}
0 \\
0 \\
0 \\
\end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4f4b624-9180-41b5-94fa-c093ec7455d7%2F50afcb9d-20e2-421b-b83f-c61ff780c5d0%2Fm3mjh8nj_processed.png&w=3840&q=75)
Transcribed Image Text:If **u** and **v** are the vectors below, solve the following equation for the vector **x**.
\[
\mathbf{u} =
\begin{bmatrix}
4 \\
4 \\
-1 \\
\end{bmatrix}
\quad
\mathbf{v} =
\begin{bmatrix}
3 \\
-4 \\
2 \\
\end{bmatrix}
\]
\[
-3\mathbf{v} - \mathbf{u} - 2\mathbf{x} = \mathbf{v} - 2(2\mathbf{x} + 2\mathbf{u})
\]
\[
\mathbf{x} =
\begin{bmatrix}
0 \\
0 \\
0 \\
\end{bmatrix}
\]
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