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}

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
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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