= { [ * ] | ² ≥ 6 } Consider W = (a) Determine whether W is closed under addition, is closed under scalar multiplication, is a subspace of M2x2. Justify your answer in details. (b) If we change the condition to z ≤ 6, do you think any of the answers in part (a) will change? Justify your answer in details.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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0 х
= { [ ] | ² ² ₁ }
Z 6
Z
Consider W =
(a) Determine whether W is closed under
addition, is closed under scalar multiplication, is a
subspace of M2x2. Justify your answer in details.
(b) If we change the condition to z ≤ 6, do you
think any of the answers in part (a) will
change? Justify your answer in details.
Transcribed Image Text:0 х = { [ ] | ² ² ₁ } Z 6 Z Consider W = (a) Determine whether W is closed under addition, is closed under scalar multiplication, is a subspace of M2x2. Justify your answer in details. (b) If we change the condition to z ≤ 6, do you think any of the answers in part (a) will change? Justify your answer in details.
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