Question

if the trace of AB is 98 then trace of BA is

Answer 1

Answer:

We can define trace if A=∑i⟨ei,Aei⟩ where ei's are standard column vectors, and ⟨x,y⟩=xty for suitable column vectors x,y. With this set up, I want to prove trace of AB and BA are same, so it's enough to prove that

∑i⟨ei,ABei⟩=∑i⟨ei,BAei⟩

but how to conclude that?

linear-algebra

Step-by-step explanation:

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