If $\mathbf{X}$ is a vector, and $\mathbf{A}$ and $\mathbf{B}$ are linear operators; then the correct mathematical relationship(s) is/are
- $(\mathbf{A}+\mathbf{B}) \mathbf{X}=\mathbf{A X}+\mathbf{B X}$
- $(\lambda \mathbf{A}) \mathbf{X}=\lambda(\mathbf{A X})$
- $(\mathbf{A B}) \mathbf{X}=\mathbf{A}(\mathbf{B X})$
- $(\mathbf{A}+\mathbf{B}) \mathbf{X}=\mathbf{A}^{\mathrm{T}}\mathbf{X}+\mathbf{B}^{\mathrm{T}} \mathbf{X}$
