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).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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).
 
A. ​nullity(A)=4, k=7
 
B. ​nullity(A)=2, k=5
 
C. ​nullity(A)=4, k=5
 
D. ​nullity(A)=2, k=7
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