4. Explain why the following statements are true. If B is invertible, then Nul(BA) = Nul(A). а. b. If B is invertible, then Col(AB) = Col(A). c. If A~ A', then Nul(A) = Nul(A').

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 12EQ
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4. Explain why the following statements are true.
If B is invertible, then Nul(BA) = Nul(A).
а.
b. If B is invertible, then Col(AB) = Col(A).
If A~ A', then Nul(A) = Nul(A').
С.
Transcribed Image Text:4. Explain why the following statements are true. If B is invertible, then Nul(BA) = Nul(A). а. b. If B is invertible, then Col(AB) = Col(A). If A~ A', then Nul(A) = Nul(A'). С.
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