Let A be any 5x7 matrix for which the col(A) has dimension 3, calculate: the nullity(A), and, state which vector space R^k that null(A) is a subspace of (give k). O A. nullity(A)=2, k=7 B. nullity(A)=4, k=7 OC. nullity(A)=2, k=5 O D. nullity(A)=4, k=5

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 56E: Give an example showing that the union of two subspaces of a vector space V is not necessarily a...
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Let A be any 5x7 matrix for which the col(A) has dimension 3, calculate:
the nullity(A),
and,
state which vector space R^k that null(A) is a subspace of (give k).
O A. nullity(A)=2, k=7
B. nullity(A)=4, k=7
OC.
nullity(A)=2, k=5
O D. nullity(A)=4, k=5
Transcribed Image Text:Let A be any 5x7 matrix for which the col(A) has dimension 3, calculate: the nullity(A), and, state which vector space R^k that null(A) is a subspace of (give k). O A. nullity(A)=2, k=7 B. nullity(A)=4, k=7 OC. nullity(A)=2, k=5 O D. nullity(A)=4, k=5
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