14. (a) Construct a 3 x 3 nonzero matrix A such that the vector Ax = 0. H is a solution of (b) If possible, construct a 4 x 5 matrix A with rank(A) = 3 and dim Nul(A) = 2. If this is not possible, explain why.
14. (a) Construct a 3 x 3 nonzero matrix A such that the vector Ax = 0. H is a solution of (b) If possible, construct a 4 x 5 matrix A with rank(A) = 3 and dim Nul(A) = 2. If this is not possible, explain why.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:14. (a) Construct a 3 x 3 nonzero matrix A such that the vector
Ax = 0.
-2 is a solution of
(b) If possible, construct a 4 x 5 matrix A with rank(A) = 3 and dim Nul(A) = 2. If
this is not possible, explain why.
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