Section: STEM · MathematicsDifficulty: Medium
Matrix
USUK
A rectangular array of numbers arranged in rows and columns used in linear algebra.
Definition
A matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns, used to represent linear transformations, systems of linear equations, and data sets. Matrix operations include addition, scalar multiplication, and matrix multiplication. Matrices are fundamental to linear algebra and are central to computer graphics, machine learning, quantum mechanics, and network analysis.
Example
“In computer graphics, a 4x4 transformation matrix is used to rotate, scale, and translate 3D objects in a video game, allowing the graphics engine to apply these operations efficiently to millions of vertices each frame.”
Synonyms
- array
- rectangular array
- linear map representation
Antonyms / Opposites
- scalar
- vector
Images
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Related Terms
- Vector
- Linear Algebra
- Eigenvalue
- Determinant