Solving a 3×5 matrix involves utilizing mathematical operations to manipulate the matrix and transform it into a simpler form that can be easily analyzed and interpreted. A 3×5 matrix is a rectangular array of numbers arranged in three rows and five columns. It can be represented as:
$$\begin{bmatrix} a_{11} & a_{12} & a_{13} & a_{14} & a_{15} \\ a_{21} & a_{22} & a_{23} & a_{24} & a_{25} \\ a_{31} & a_{32} & a_{33} & a_{34} & a_{35} \end{bmatrix}$$