(2) Find a basis of the following subspaces and find their dimensions. a + 2c b — с : а, b, с €R a + b+c (b)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(2) Find a basis of the following subspaces and find their dimensions.
(a)
{.
{(:)
a + 2c
b — с
: а, b, с€ R
a + b+c
(Ъ)
а — 36 + с — 0
b — 2с — 0
a
:
2b — с — 0
Transcribed Image Text:(2) Find a basis of the following subspaces and find their dimensions. (a) {. {(:) a + 2c b — с : а, b, с€ R a + b+c (Ъ) а — 36 + с — 0 b — 2с — 0 a : 2b — с — 0
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