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

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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
|(L+1)a
(L4+1)d
(L²+1)a
Lb
Lc
Transcribed Image Text:|(L+1)a (L4+1)d (L²+1)a Lb Lc
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