Determine which of the following sets are subspaces of R². 1. {[1, 2] | 1 = -922}. 2. {[1, ₂] | 6x₁ + 3x₂ = 0}. 3. {[1, ₂] ₁ + x₂ > 0}. Determine which of the following sets are subspaces of R2x2. ? ? ? ? ? V ? V 1. The 2 x 2 matrices with determinant equal to zero. ✓2. The 2 x 2 matrices whose entries are all greater than or equal to zero. 3. The 2 x 2 lower triangular matrices. Note: You can earn partial credit on this problem.
Determine which of the following sets are subspaces of R². 1. {[1, 2] | 1 = -922}. 2. {[1, ₂] | 6x₁ + 3x₂ = 0}. 3. {[1, ₂] ₁ + x₂ > 0}. Determine which of the following sets are subspaces of R2x2. ? ? ? ? ? V ? V 1. The 2 x 2 matrices with determinant equal to zero. ✓2. The 2 x 2 matrices whose entries are all greater than or equal to zero. 3. The 2 x 2 lower triangular matrices. Note: You can earn partial credit on this problem.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Determine which of the following sets are subspaces of R².
1. {[1, ₂] | 1 = -922}.
2. {[1, 2] | 6x₁ + 3x₂ = 0}.
3. {[1, ₂] | ₁ + x₂ > 0}.
Determine which of the following sets are subspaces of R²x2.
?
?
?
?
?
?
V 1. The 2 x 2 matrices with determinant equal to zero.
✓2. The 2 x 2 matrices whose entries are all greater than or equal to zero.
✓3. The 2 x 2 lower triangular matrices.
Note: You can earn partial credit on this problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb2133c9-e1e5-4d56-9c72-044227328930%2Ffae7af15-e9d1-45be-8c3a-11ad6f322027%2F44olloij_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Determine which of the following sets are subspaces of R².
1. {[1, ₂] | 1 = -922}.
2. {[1, 2] | 6x₁ + 3x₂ = 0}.
3. {[1, ₂] | ₁ + x₂ > 0}.
Determine which of the following sets are subspaces of R²x2.
?
?
?
?
?
?
V 1. The 2 x 2 matrices with determinant equal to zero.
✓2. The 2 x 2 matrices whose entries are all greater than or equal to zero.
✓3. The 2 x 2 lower triangular matrices.
Note: You can earn partial credit on this problem.
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