Physics, Quantum Physics, Quantum Mechanics, Quantum, Mathematics.
expression, we get ⟨i|V⟩ = vᵢ which we can plug into the equation for the expansion of |V⟩: This is where treating kets and bras as separate objects becomes useful because the above equation states that |V⟩ is equal to ‘some object’ times |V⟩ where this ‘object’ I am talking about is ∑|i⟩⟨i|. But