–30 . Let [x]B Let B = bi = ,b2 = be a basis for R2. Given x = be the coordinates of x relative to B. Compute c1and c2. Enter = your answers below. C1 = ( Select ] C2 = [ Select ]
–30 . Let [x]B Let B = bi = ,b2 = be a basis for R2. Given x = be the coordinates of x relative to B. Compute c1and c2. Enter = your answers below. C1 = ( Select ] C2 = [ Select ]
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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![Let \(\mathcal{B} = \left\{ \mathbf{b}_1 = \begin{bmatrix} -1 \\ 1 \end{bmatrix}, \mathbf{b}_2 = \begin{bmatrix} 1 \\ 2 \end{bmatrix} \right\}\) be a basis for \(\mathbb{R}^2\). Given \(\mathbf{x} = \begin{bmatrix} -30 \\ 0 \end{bmatrix}\). Let \([\mathbf{x}]_{\mathcal{B}} = \begin{bmatrix} c_1 \\ c_2 \end{bmatrix}\) be the coordinates of \(\mathbf{x}\) relative to \(\mathcal{B}\). Compute \(c_1\) and \(c_2\). Enter your answers below.
\[ c_1 = \] [ Select ]
\[ c_2 = \] [ Select ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd53aa5e-ac7e-4df1-875b-bebe537b2959%2F243042b8-e551-4686-81e0-89c4386cdb9a%2F9reifpp_processed.png&w=3840&q=75)
Transcribed Image Text:Let \(\mathcal{B} = \left\{ \mathbf{b}_1 = \begin{bmatrix} -1 \\ 1 \end{bmatrix}, \mathbf{b}_2 = \begin{bmatrix} 1 \\ 2 \end{bmatrix} \right\}\) be a basis for \(\mathbb{R}^2\). Given \(\mathbf{x} = \begin{bmatrix} -30 \\ 0 \end{bmatrix}\). Let \([\mathbf{x}]_{\mathcal{B}} = \begin{bmatrix} c_1 \\ c_2 \end{bmatrix}\) be the coordinates of \(\mathbf{x}\) relative to \(\mathcal{B}\). Compute \(c_1\) and \(c_2\). Enter your answers below.
\[ c_1 = \] [ Select ]
\[ c_2 = \] [ Select ]
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