For a b isin mnf and s isin f show that i tra b tra trb


For A, B ∈ Mn(F) and s ∈ F, show that: i) tr(A + B) = tr(A) + tr(B); ii) tr(sA) = s⋅tr(A); and iii) tr(AB) = tr(BA), where tr(A) is the trace of A.

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Algebra: For a b isin mnf and s isin f show that i tra b tra trb
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