2 problems

Let $(\mathcal{F}_{\mathbb{M}}^{\mathbb{M}},{\Greekmath 011A})$ be a Hilbert function space. Assume that $\mathcal{E}=\{e_i\}_{i\in I}\subset \mathcal{F}_{\mathbb{M}}^{\mathbb{M}}$…

Let $A$ be the symmetric positive-definite matrix defining the non-standard inner product, let $Z$ be the input matrix with $m$ rows, let $n$ be the number of columns, and let…