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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![## Problem Statement
**Find the vector** \(\vec{x}\) **determined by**
### Given
- Basis \(\mathcal{B}\):
\[
\mathcal{B} = \left\{ \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix}, \begin{bmatrix} -1 \\ -2 \\ 0 \end{bmatrix}, \begin{bmatrix} 6 \\ 12 \\ 2 \end{bmatrix} \right\}
\]
- Coordinate vector of \(\vec{x}\) with respect to \(\mathcal{B}\):
\[
[\vec{x}]_\mathcal{B} = \begin{bmatrix} -3 \\ 3 \\ -2 \end{bmatrix}
\]
### Find
- Vector \(\vec{x}\):
\[
\vec{x} = \text{(Enter solution here)}
\]
---
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Transcribed Image Text:## Problem Statement
**Find the vector** \(\vec{x}\) **determined by**
### Given
- Basis \(\mathcal{B}\):
\[
\mathcal{B} = \left\{ \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix}, \begin{bmatrix} -1 \\ -2 \\ 0 \end{bmatrix}, \begin{bmatrix} 6 \\ 12 \\ 2 \end{bmatrix} \right\}
\]
- Coordinate vector of \(\vec{x}\) with respect to \(\mathcal{B}\):
\[
[\vec{x}]_\mathcal{B} = \begin{bmatrix} -3 \\ 3 \\ -2 \end{bmatrix}
\]
### Find
- Vector \(\vec{x}\):
\[
\vec{x} = \text{(Enter solution here)}
\]
---
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