> [!summary] A zero matrix is a matrix with entries of all zeros. >[!info]+ Read Time **⏱ 1 min** # Definition The zero matrix, sometimes called the null matrix, is a [[Matrix Notation|matrix]] whose entries are all zero. This is true for any $\mathbb{R}^{m\times n}$ matrix defined below. $ \mathbf{0}_{m \times n} = \begin{bmatrix} 0 & 0 & \cdots & 0 \\ 0 & 0 & \cdots & 0 \\ \vdots & \vdots & \ddots & \vdots \\ 0 & 0 & \cdots & 0 \end{bmatrix} $ # Resources <iframe width="560" height="315" src="https://www.youtube.com/embed/egTa9v1LPWE?si=xJSKO6oJZA4agqBd" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe>