Answered: Let V be the vector space of all 2×2…

Let V be the vector space of all 2×2 matrics over the real field R. Show that W is not a subspace of V, where W consists of all matrics with zero determinant.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 24CM

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Question

Let V be the vector space of all 2×2 matrics
over the real field R.
Show that W is not a subspace of V, where
W consists of all matrics with zero determinant.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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