Let \( B \) be a fixed \( m \times n \) matrix and let \( S \) be the set of \( n \times p \) matrices where\[ S = \{ A \mid BA = 0 \} \].Determine if \( S \) is a subspace of \( M_{np} \) with standard operations.

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Answered: Let B be a fixed mxn matrix and let S…

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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Let B be a fixed mxn matrix and let S be the set of nxp matrices where S={A|BA=0}. Determine if S is a subspace of M, np with standard operations.