Let V = Mmxn(C) be the set of m x n matrices with entries in C. 1. Describe a basis for V as a C-vector space. What is the dimension of V as a C-vector space? 2. Describe a basis for V as an R-vector space. What is the dimension of V as an R-vector space?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
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Let V = Mmxn(C) be the set of m x n matrices with entries in C.
1. Describe a basis for V as a C-vector space. What is the dimension of V as a C-vector space?
2. Describe a basis for V as an R-vector space. What is the dimension of V as an R-vector space?
Transcribed Image Text:Let V = Mmxn(C) be the set of m x n matrices with entries in C. 1. Describe a basis for V as a C-vector space. What is the dimension of V as a C-vector space? 2. Describe a basis for V as an R-vector space. What is the dimension of V as an R-vector space?
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