Find the basis for the given subspace of R°, and state its dimensions for the plane 2x – 4y +5z =0. a) v1 = 1 ,V2 1 L0.4] Lo.8] 1 b) vị = 1 V2 -0.4 1 c) v1 = L0.4] ,V2 1 Lo.8] 1 d) vi = -0.4 V2 0.8. 1 e) v1 V2 1 %3D -0.4]

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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Find the basis for the given subspace of R°, and state
its dimensions for the plane 2x – 4y +5z =0.
--
a) v1 =
1
,V2
1
L0.4]
Lo.8]
1
b) vị =
v2
1
-0.4
L0.8.
E-
1
c) v1 =
,V2
1
L0.4]
Lo.8]
1
d) v1 =
-0.4
V2
0.8.
1
1
e) vi
V2
1
%3D
-0.4]
Transcribed Image Text:Find the basis for the given subspace of R°, and state its dimensions for the plane 2x – 4y +5z =0. -- a) v1 = 1 ,V2 1 L0.4] Lo.8] 1 b) vị = v2 1 -0.4 L0.8. E- 1 c) v1 = ,V2 1 L0.4] Lo.8] 1 d) v1 = -0.4 V2 0.8. 1 1 e) vi V2 1 %3D -0.4]
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