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
Transcribed Image Text:**Question:**
There are 6 linearly independent vectors in \(\mathbb{R}^5\).
- ○ True
- ○ False
**Explanation:**
In the vector space \(\mathbb{R}^5\), a maximum of 5 linearly independent vectors can exist because the dimension of \(\mathbb{R}^5\) is 5. Therefore, the statement that there are 6 linearly independent vectors in \(\mathbb{R}^5\) is false.
Expert Solution
Step 1
We know that the dimension of the vector space R5 is 5.
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