# Linear Algebra ![[Pasted image 20240613160925.png|425]] ## Matrices > See also: > - [[Scalar Quantities]] https://towardsdatascience.com/introduction-to-vectors-and-matrices-using-python-for-data-science-e836e014eb12 A **matrix** of size $m \times n$ is a *two-dimensional array* that has $m$ rows and $n$ columns. A **vector** is a *one-dimensional matrix* Vectors have a magnitude and a direction assoiated with them When a ### Types of Matrices - [ ] square matrices - [ ] diagonal matrices - [ ] ### Matrix Operations **Matrix Addition** --- **Scalar Multiplication** --- **Matrix Multiplication** ![[Pasted image 20230226201112.png|300]] > "Each row of first matrix is aligned with every column of second matrix and the product of each alignment is added together" - [ ] When Only One Dimension Aligns? ## Eigenpairs > See also: > - [Eigenvectors and Eigenvalues Explained Visually](https://setosa.io/ev/eigenvectors-and-eigenvalues/) ### Eigenvectors ### Eigenvalues - [ ] Eigenpairs - [ ] Eigenvectors - [ ] Eigenvalues