For the given subspace, H, (i) find a basis for the subspace, and (ii) state the dimension. 2c (а) Н — а —b : а, b, с in R 3c a + 2b (Ъ) Н — {(а, b, с) : а — 3b + с — 0, b — 2с — 0, 26 — с — 0} -

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter4: Vector Spaces
Section4.CR: Review Exercises
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For the given subspace, H, (i) find a basis for the subspace, and (ii) state the
dimension.
2c
(а) Н —
а —b
: а, b, с in R
3c
a + 2b
(Ъ) Н — {(а, b, с) : а — 3b + с — 0, b — 2с — 0, 26 — с — 0}
Transcribed Image Text:For the given subspace, H, (i) find a basis for the subspace, and (ii) state the dimension. 2c (а) Н — а —b : а, b, с in R 3c a + 2b (Ъ) Н — {(а, b, с) : а — 3b + с — 0, b — 2с — 0, 26 — с — 0}
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