Problem 15. Determine which of the following sets are subspaces of R³ ? V 1.4r, 52,-27 z arbitrary number} ? 2. {x, y, z-52+2y-82=-4) Yes 3. (z. y. 2 z 20 y 20:20}
Problem 15. Determine which of the following sets are subspaces of R³ ? V 1.4r, 52,-27 z arbitrary number} ? 2. {x, y, z-52+2y-82=-4) Yes 3. (z. y. 2 z 20 y 20:20}
Elementary Linear Algebra (MindTap Course List)
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Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 77E
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Q15
![Problem 15.
Determine which of the following sets are subspaces of R³
?
1.4r, 52,-27 z arbitrary number}
V
?
2. {r, y, z-52+2y-82=-4)
Yes
3. (z.y. zz>0y20220}
No
Determine which of the following sets are subspaces of R¹
1. The 3 x 3 matrices with integer entries
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff780f18f-e104-43fb-925f-d0d6ed09928c%2Fcfadcbf1-257b-464c-bbec-f562fbc819e7%2Fwo1bhtq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 15.
Determine which of the following sets are subspaces of R³
?
1.4r, 52,-27 z arbitrary number}
V
?
2. {r, y, z-52+2y-82=-4)
Yes
3. (z.y. zz>0y20220}
No
Determine which of the following sets are subspaces of R¹
1. The 3 x 3 matrices with integer entries
2
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