Find a basis for the given subspace of R°, and state its dimension for the plane 2 x - 4 y+ 5 z = 0. 1 V1 = V2 = 0.4 0.8 1 V1 = V2 = 0.4 0.8 V1 V2 -0.4 0.8 1 V1 V2 -0.4 0.8 1 V1 = V2 = 1 0.4 0.8 II

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 61CR: Find the bases for the four fundamental subspaces of the matrix. A=[010030101].
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Find a basis for the given subspace of R° , and state its dimension for the plane 2 x-4 y+ 5 z = 0.
1
V1 =
V2 =
0.4
0.8
1
V1 =
V2 =
0.4
0.8
V1
V2 =
-0.4
0.8
1
V1
V2
-0.4
0.8
HA
1
VI =
V2 =
1
0.4
0.8
Transcribed Image Text:Find a basis for the given subspace of R° , and state its dimension for the plane 2 x-4 y+ 5 z = 0. 1 V1 = V2 = 0.4 0.8 1 V1 = V2 = 0.4 0.8 V1 V2 = -0.4 0.8 1 V1 V2 -0.4 0.8 HA 1 VI = V2 = 1 0.4 0.8
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