matrix inversion Synonyms

No Synonyms and anytonyms found

matrix inversion Meaning

Wordnet

matrix inversion (n)

determination of a matrix that when multiplied by the given matrix will yield a unit matrix

matrix inversion Sentence Examples

1. In linear algebra, matrix inversion involves finding the multiplicative inverse of a given square matrix.
2. Matrix inversion is essential for solving systems of linear equations and other matrix-based operations.
3. The inverse of a matrix, if it exists, can be computed using various methods, such as Gaussian elimination or cofactor expansion.
4. 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.
5. Matrix inversion has applications in various fields, including computer graphics, statistics, and control theory.
6. In computer graphics, matrix inversion is used to transform objects and perform perspective projections.
7. In statistics, matrix inversion is employed in regression analysis and other statistical techniques.
8. In control theory, matrix inversion is applied to design feedback systems and analyze their stability.
9. The process of matrix inversion can be computationally intensive, especially for large matrices.
10. Specialized algorithms and software tools have been developed to optimize the efficiency and accuracy of matrix inversion.

FAQs About the word matrix inversion

What is the meaning of the word matrix inversion

determination of a matrix that when multiplied by the given matrix will yield a unit matrix

What are the synonyms of the word matrix inversion

No synonyms found.

What are the antonyms of the word matrix inversion

No antonyms found.

What is the usage of word matrix inversion

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.

How to use the word matrix inversion in a sentence?

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.