2а + b - Зс 4а — 2b + 5с (а) S %— E R* : a, b, c ER a а +b+c a X1 X2 (b) S = ER: 2x + х2 — 7хз + 8х4 13 X3 X4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Below, which ones are subspaces of R4. Show with a proof/example. You can also show something is a subspace by showing it is the spanning set of some set of vectors

2а + b - Зс
4а — 2b + 5с
E R* : a, b, c ER
(a) S =
a
a + b + c
X1
X2
(b) S =
E R* : 2x1 + x2 – 7x3 + 8x4 = 13
-
X3
X4
Transcribed Image Text:2а + b - Зс 4а — 2b + 5с E R* : a, b, c ER (a) S = a a + b + c X1 X2 (b) S = E R* : 2x1 + x2 – 7x3 + 8x4 = 13 - X3 X4
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