Editing Linear Algebra (section)

== <span style="color: #FFFFFF;">Remembering</span> ==
* '''Vector''' — A quantity having both magnitude and direction; an array of numbers.
* '''Matrix''' — A rectangular grid of numbers, arranged in rows and columns.
* '''Scalar''' — A single number (as opposed to a vector or matrix).
* '''Dot Product''' — An operation that takes two vectors and returns a single number (measuring how much they "point" in the same direction).
* '''Matrix Multiplication''' — A way of combining two matrices to represent a complex transformation.
* '''Identity Matrix ($I$)''' — A square matrix with 1s on the diagonal and 0s elsewhere; the "1" of matrices.
* '''Inverse Matrix ($A^{-1}$)''' — A matrix that, when multiplied by $A$, result in the Identity matrix (used to "undo" a transformation).
* '''Determinant''' — A single number that describes the "Scale" of a transformation (if it's 0, the matrix has "collapsed" the space).
* '''Eigenvector''' — A vector whose direction does not change during a transformation.
* '''Eigenvalue''' — The factor by which an eigenvector is scaled during a transformation.
* '''Basis''' — A set of vectors that can be used to "build" any other vector in a space.
* '''Dimension''' — The number of vectors in a basis (e.g., 2D, 3D, or 1000D).
* '''Linear Transformation''' — A function that moves space while keeping lines straight and the origin fixed.
* '''System of Linear Equations''' — A set of two or more linear equations with the same variables.
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