Let V = R³ -^-(~--~-~-) = 10 A = (b) B= V1 = c={n= (c) C= 8 2 3 The set mentioned in (a) The set mentioned in (b) The set mentioned in (c) V2 = V2 = 5 3 3 V3 V3 = V3 = 0} 7 8 [Choose ] [Choose This is a basis for V. This is not a basis for V. [Choose]

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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Please all three questions
Let V-R³
^= {x₁ = [])
Vi
5
}
9
(a) A =
(b) B = { V₁ =
The set mentioned in (a)
½2 =
The set mentioned in (b)
2
6
10
3
------------ED)
= 6
8
The set mentioned in (c)
1
V3 =
--- --- --- --E])
(c) C = = 2
5
V3 = 8
3
6
3
V3 = 7
[Choose]
[Choose ]
This is a basis for V.
This is not a basis for V.
[Choose]
Transcribed Image Text:Let V-R³ ^= {x₁ = []) Vi 5 } 9 (a) A = (b) B = { V₁ = The set mentioned in (a) ½2 = The set mentioned in (b) 2 6 10 3 ------------ED) = 6 8 The set mentioned in (c) 1 V3 = --- --- --- --E]) (c) C = = 2 5 V3 = 8 3 6 3 V3 = 7 [Choose] [Choose ] This is a basis for V. This is not a basis for V. [Choose]
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