In a complex vector space, what is the result of multiplying a vector $|\psi\rangle$ by a scalar $c$?
Question 2
Which of the following describes a linear transformation in the context of quantum mechanics?
Question 3
Given a matrix $A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$ and a vector $v = \begin{pmatrix} 5 \\ 6 \end{pmatrix}$, what is the result of the matrix-vector multiplication $Av$?
Question 4
What is the adjoint (or Hermitian conjugate) of an operator $A$?
Question 5
If a matrix $M$ has an eigenvector $v$ with eigenvalue $\lambda$, which equation correctly represents this relationship?
