Matrix
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.”
Usage Examples
- 1
“The team applied matrix best practices to improve their mathematics outcomes significantly.”
- 2
“Understanding matrix is essential for anyone building a career in STEM.”
When & How to Use
Use 'Matrix' when working in Mathematics contexts where 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.
- ▸Applying matrix principles during a mathematics project or initiative
- ▸Explaining matrix to a junior team member or stakeholder unfamiliar with STEM
- ▸Evaluating options or proposals using matrix as a decision-making criterion
Etymology & Origin
The term 'Matrix' derives from professional usage and entered STEM professional usage as the field formalised in the 20th century.
History & Evolution
The concept of matrix has evolved alongside STEM. Early practitioners relied on informal methods; structured approaches emerged with the professionalisation of mathematics in the mid-20th century. Today, matrix is a standard part of STEM practice globally.
Synonyms
- array
- rectangular array
- linear map representation
Antonyms / Opposites
- scalar
- vector
Images
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Related Terms
- Vector
- Linear Algebra
- Eigenvalue
- Determinant