Consider |𝜙1⟩ = (1/13)(3|0⟩ + 2|1⟩)

Consider |𝜙₁⟩ = (1/13)(3|0⟩ + 2|1⟩) from Question 3. First, apply the Y gate on this qubit. Then apply the complex conjugate transpose of the Y gate (which you calculated in Question 4). Write down the output quantum state.