matrix inversion (Meaning)
matrix inversion (n)
determination of a matrix that when multiplied by the given matrix will yield a unit matrix
Synonyms & Antonyms of matrix inversion
No Synonyms and anytonyms found
matrix inversion Sentence Examples
- In linear algebra, matrix inversion involves finding the multiplicative inverse of a given square matrix.
- Matrix inversion is essential for solving systems of linear equations and other matrix-based operations.
- The inverse of a matrix, if it exists, can be computed using various methods, such as Gaussian elimination or cofactor expansion.
- The matrix inversion process can be represented as solving the equation AX = I, where A is the original matrix, X is the inverse matrix, and I is the identity matrix.
- Matrix inversion has applications in various fields, including computer graphics, statistics, and control theory.
- In computer graphics, matrix inversion is used to transform objects and perform perspective projections.
- In statistics, matrix inversion is employed in regression analysis and other statistical techniques.
- In control theory, matrix inversion is applied to design feedback systems and analyze their stability.
- The process of matrix inversion can be computationally intensive, especially for large matrices.
- Specialized algorithms and software tools have been developed to optimize the efficiency and accuracy of matrix inversion.
FAQs About the word matrix inversion
determination of a matrix that when multiplied by the given matrix will yield a unit matrix
No synonyms found.
No antonyms found.
In linear algebra, matrix inversion involves finding the multiplicative inverse of a given square matrix.
Matrix inversion is essential for solving systems of linear equations and other matrix-based operations.
The inverse of a matrix, if it exists, can be computed using various methods, such as Gaussian elimination or cofactor expansion.
The matrix inversion process can be represented as solving the equation AX = I, where A is the original matrix, X is the inverse matrix, and I is the identity matrix.
