let v denote the set of all m x n matrices with real entries so v is a vector space over r by ex

Name: let v denote the set of all m x n matrices with real entries so v is a vector space over r by example 2 let f be the field of rational numbers is v a vector space over f with the usual defin 16114
Uploaded: 2023-02-07T07:20:45-08:00
Duration: 3 min 41 s
Channel: Supreeta N
Description: let v denote the set of all m x n matrices with real entries so v is a vector space over r by example 2 let f be the field of rational numbers is v a vector space over f with the usual defin 16114

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Supreeta N · Accepted Answer

Let V denote the set of all m x n matrices with real entries. Then V is a vector space over R.

Question

Let V denote the set of all m x n matrices with real entries; so V is a vector space over R by Example 2. Let F be the field of rational numbers. Is V a vector space over F with the usual definitions of matrix addition and scalar multiplication?

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