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2. Let V = Rn and let {e1,..., en} be the standard basis for V. a) Give an example of a subspace of V that has dimension m for each 1< m < n. b) Let U = Span(v1, v2, ... , Vn) where vi = e1 and Vi = e1 + e; for 2 < i

2. Let V = Rn and let {e1,..., en} be the standard basis for V. a) Give an example of a subspace of V that has dimension m for each 1< m < n. b) Let U = Span(v1, v2, ... , Vn) where vi = e1 and Vi = e1 + e; for 2 < i

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.1: Vector Spaces And Subspaces
Problem 37EQ: In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. 37. V = P, W is the...
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2. Let V = Rn and let {e1,..., en} be the standard basis for V. a) Give an example of a subspace of V that has dimension m for each 1< m < n. b) Let U = Span(v1, v2, . .., Vn) where vị = e1 and Vi = e1 + e¿ for 2 < i<n. What is the dimension of U?
Transcribed Image Text:2. Let V = Rn and let {e1,..., en} be the standard basis for V. a) Give an example of a subspace of V that has dimension m for each 1< m < n. b) Let U = Span(v1, v2, . .., Vn) where vị = e1 and Vi = e1 + e¿ for 2 < i<n. What is the dimension of U?
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