1. Let H e Mn (F), and consider the function L : M„(F) → Mn (F) defined by L(A) : = HA – AH. Show that L is linear.

Linear Algebra: A Modern Introduction
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Chapter7: Distance And Approximation
Section7.5: Applications
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1. Let H e Mn (F), and consider the function L : M„(F) → Mn (F) defined
by L(A) :
= HA – AH. Show that L is linear.
Transcribed Image Text:1. Let H e Mn (F), and consider the function L : M„(F) → Mn (F) defined by L(A) : = HA – AH. Show that L is linear.
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