4. For each of the following subspaces, find a basis, and state the dimension. (i) The subspace U = a 2b {(22) a+3b : a,bЄR of R³. (ii) The subspace W = x א > א (@ 3 ע 1 C4x + y + z = 0 and y − iz + w = 0 of C4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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4. For each of the following subspaces, find a basis, and state the dimension.
(i) The subspace U
=
a
2b
{(22)
a+3b
: a,bЄR of R³.
(ii) The subspace W
=
x
א > א
(@
3
ע
1
C4x + y + z = 0 and y − iz + w = 0
of C4.
Transcribed Image Text:4. For each of the following subspaces, find a basis, and state the dimension. (i) The subspace U = a 2b {(22) a+3b : a,bЄR of R³. (ii) The subspace W = x א > א (@ 3 ע 1 C4x + y + z = 0 and y − iz + w = 0 of C4.
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