# What will be the dimensions of the resulting matrix found by multiplying a 2 by 5 matrix and a 5 by 3?

Dim. will be $2 \times 3$.
${\left[A\right]}_{m \times n}$$\cdot$${\left[B\right]}_{n \times p}$
$= {\left[A \cdot B\right]}_{m \times p}$
Hence, the dim. of the resulting matrix will be $2 \times 3$.