Do the four matrices span V = M₂ (R) as a vector space? What about when viewed in V: = M₂ (F3)? J], [2] 02 01 10 " 00 1 0 10 0 1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
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Do the four matrices
M₂ (R) as a vector space?
What about when viewed in V = M₂ (F3)?
span V
=
Select one:
O Yes over both fields
O None of the others apply
O No over R but yes over F3
O Yes over R but no over F3
O No over both fields
[J 69 69 69
Transcribed Image Text:Do the four matrices M₂ (R) as a vector space? What about when viewed in V = M₂ (F3)? span V = Select one: O Yes over both fields O None of the others apply O No over R but yes over F3 O Yes over R but no over F3 O No over both fields [J 69 69 69
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