2) Suppose that S = {u1, u2, u3, u4, u5} spans ℝ^n. Is n > 5 or n ? 5?

Name: 2) Suppose that S = {u1, u2, u3, u4, u5} spans ℝ^n. Is n > 5 or n ? 5?
Uploaded: 2024-07-05T11:49:18-08:00
Duration: 5 min 6 s
Channel: Kirsty Gledhill
Description: 2) Suppose that S = {u1, u2, u3, u4, u5} spans ℝ^n. Is n > 5 or n ? 5?

Question

2) Suppose that S = \{u1, u2, u3, u4, u5\} spans $\mathbb{R}^n$. Is n > 5 or n ? 5?

          2) Suppose that S = \{u1, u2, u3, u4, u5\} spans $\mathbb{R}^n$. Is n > 5 or n ? 5?

$2) Suppose that S = {u1, u2, u3, u4, u5} spans ℝ^n. Is n > 5 or n ? 5?$

Added by Jennifer G.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Kirsty Gledhill

07/05/2024

Step 1

Step 1: If a set of vectors spans R^n, then the number of vectors in the set must be greater than or equal to n. Show more…

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2) Suppose that S = {u1, u2, u3, u4, u5} spans R^n. Is n > 5 or n ≤ 5?

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2) Suppose that S = \{u1, u2, u3, u4, u5\} spans $\mathbb{R}^n$. Is n > 5 or n ? 5?

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