Where tr(a) is the trace of a

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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.

Reference no: EM13956706

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