Solution
= Solution
The subspace $y^\perp$ is fixed by $M=I-xy^\dagger$, while the remaining <determinant> factor is $1-y^\dagger x$. Thus $\det M=1-y^*\cdot x$.
= Solution
The subspace $y^\perp$ is fixed by $M=I-xy^\dagger$, while the remaining <determinant> factor is $1-y^\dagger x$. Thus $\det M=1-y^*\cdot x$.