Let V = { A ∈ M2x2 (R)} such that A its like: where L is a fixed real number. For what values of L does the set V form a 2-dimensional vector space? Choose an option: [a] no real value [b] 1 or 0 [c] 0 [d] ∀ L ∈ R

Let V = { A ∈ M2x2 (R)} such that A its like: where L is a fixed real number. For what values of L does the set V form a 2-dimensional vector space? Choose an option: [a] no real value [b] 1 or 0 [c] 0 [d] ∀ L ∈ R

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.CT: Chapter Test

Problem 9CT

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Question

Let V = { A ∈ M2x2 (R)} such that A its like:

where L is a fixed real number. For what values of L does the set V form a 2-dimensional vector space?

Choose an option:

[a] no real value

[b] 1 or 0

[c] 0

[d] ∀ L ∈ R

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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