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Section 4.5 - The Dimension of a Vector Space Prereqs: Basis (4.3), coordinate vector and coordinate mapping (4.4). = {0-6)} Warm Up 1. Explain why B = is a basis for R².

Section 4.5 - The Dimension of a Vector Space Prereqs: Basis (4.3), coordinate vector and coordinate mapping (4.4). = {0-6)} Warm Up 1. Explain why B = is a basis for R².

Algebra and Trigonometry (6th Edition)
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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**Section 4.5 – The Dimension of a Vector Space** *Prereqs: Basis (4.3), coordinate vector and coordinate mapping (4.4).* **Warm Up 1.** Explain why \(\mathcal{B} = \left\{ \begin{bmatrix} 1 \\ 0 \end{bmatrix}, \begin{bmatrix} 2 \\ 1 \end{bmatrix} \right\}\) is a basis for \(\mathbb{R}^2\).
Transcribed Image Text:**Section 4.5 – The Dimension of a Vector Space** *Prereqs: Basis (4.3), coordinate vector and coordinate mapping (4.4).* **Warm Up 1.** Explain why \(\mathcal{B} = \left\{ \begin{bmatrix} 1 \\ 0 \end{bmatrix}, \begin{bmatrix} 2 \\ 1 \end{bmatrix} \right\}\) is a basis for \(\mathbb{R}^2\).
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