matrix operation
Noun: A mathematical operation involving matrices. This refers to any procedure or calculation performed on one or more matrices, which are rectangular arrays of numbers, symbols, or expressions arranged in rows and columns. These operations follow specific algebraic rules distinct from ordinary arithmetic.
The term "matrix operation" is used to describe the specific rules for manipulating matrices. Common operations include addition, subtraction, multiplication, and finding the inverse or determinant. It is a technical term primarily used in mathematics, computer science, physics, and engineering contexts.
- Matrix addition and multiplication are fundamental matrix operations in linear algebra.
- The efficiency of the algorithm depends on optimizing the matrix operations.
- Performing that matrix operation by hand is very time-consuming for large matrices.
- Element-wise operation: A type of matrix operation where an operation (like addition or multiplication) is applied to corresponding elements of matrices of the same dimensions.
- Singular Value Decomposition (SVD): A complex matrix operation that factorizes a matrix into three other matrices, widely used in signal processing and statistics.
- Matrix (n): The rectangular array itself, which is the subject of the operation.
- Operand (n): A matrix (or other quantity) upon which an operation is performed.
- Linear Transformation (n): A function between vector spaces that can be represented by matrix multiplication, a key application of matrix operations.
- Matrix calculation
- Matrix manipulation
- Perform a matrix operation: To execute or carry out a calculation on matrices.
- The software is designed to perform complex matrix operations quickly.
- Chain of matrix operations: A sequence of multiple operations performed in order.
- The final result is obtained after a long chain of matrix operations.
The term is almost exclusively used in its technical, mathematical sense. It does not have idiomatic meanings or phrasal verbs in everyday language. The focus is always on the procedural and computational aspects of working with matrices.
- a mathematical operation involving matrices