0 х = { [ ] | ²20} 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.

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 11CM
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0
= { [ ] | ²²0}
26}
Z
6
Z
Consider W =
४
(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 = { [ ] | ²²0} 26} Z 6 Z Consider W = ४ (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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