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What is another word for invertible matrix?

Pronunciation: [ɪnvˈɜːtəbə͡l mˈe͡ɪtɹɪks] (IPA)

An invertible matrix, also known as a non-singular matrix, is a fundamental concept in linear algebra. It refers to a square matrix that possesses an inverse, allowing for cancellation of the matrix in equations. Synonyms for an invertible matrix include non-degenerate matrix, non-singular matrix, and non-zero determinant matrix. These terms emphasize the main characteristic of such a matrix, namely that it is not degenerate, i.e., it does not collapse the dimension of a vector space. An invertible matrix plays a crucial role in solving linear systems of equations, transformation problems, and calculations involving determinants and eigenvectors, making it an essential concept in mathematics.
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What are the opposite words for invertible matrix?

Antonyms for the term "invertible matrix" include non-invertible matrix, singular matrix, and degenerate matrix. An invertible matrix is a matrix that can be inverted or multiplied by another matrix to produce an identity matrix. A non-invertible matrix, on the other hand, is a matrix that cannot be inverted, and its determinant is zero. A singular matrix is a matrix that has no inverse, while a degenerate matrix is a matrix whose determinant is zero, indicating that the matrix is not invertible. In linear algebra, understanding the properties of invertible and non-invertible matrices is essential in solving systems of linear equations and other mathematical problems.

What are the antonyms for Invertible matrix?

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