)} \cdot {\left\Vert { {\operatorname{\mathbb{E}}}{{\bm{X}}}^0 } \right\Vert}^{0/0}         + C(d) \cdot \left( {\operatorname{\mathbb{E}}}\max\nolimits_i {\left\Vert { {{\bm{Y}}}_i } \right\Vert}^0 \right)^{0/0}.$$  0.  **The Centered Rectangular Case.** Consider an independent family $\{ {{\bm{S}}}_0, \dots, {{\bm{S}}}_n \}$ of random $d_0 \times d_0$ matrices with ${\operatorname{\mathbb{E}}}{{\bm{S}}}_i = {{\bm{0}}}$ for each index $i$, and define the sum $${{\bm{Z}}} := \sum_{i=0}^n {{\bm{S}}}_i.$$ Then $$\label{eqn:rect-case}     {\operatorname{\mathbb{E}}}{\left\Vert { {{\bm{Z}}} } \right\Vert}         \