NONINVERTIBLE Meaning and
Definition
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Noninvertible is an adjective that describes something that cannot be inverted or reversed. In mathematics, specifically linear algebra, a noninvertible matrix is a square matrix that does not have an inverse. An inverse matrix is one that, when multiplied with the original matrix, results in the identity matrix. However, if a matrix is noninvertible, this means that there is no matrix that can be multiplied with it to produce the identity matrix.
Noninvertible matrices are also referred to as singular matrices. They have a determinant equal to zero, meaning that their transformation does not preserve the volume or shape of the vector or space they operate on. For example, if a noninvertible matrix is applied to a vector, the resulting vector will become degenerate and lose its original dimensions.
The concept of noninvertible extends beyond mathematics and can be applied to various fields. In computer science, a noninvertible function or algorithm is one for which there is no efficient or practical method to reverse its transformation. In physics, noninvertible processes are those that cannot be fully reversed, leading to entropy or irreversible changes.
Overall, noninvertible refers to something that lacks an inverse, whether in the context of matrices, functions, algorithms, or processes, rendering it unalterable to its original state.
Common Misspellings for NONINVERTIBLE
- boninvertible
- moninvertible
- joninvertible
- honinvertible
- nininvertible
- nkninvertible
- nlninvertible
- npninvertible
- n0ninvertible
- n9ninvertible
- nobinvertible
- nominvertible
- nojinvertible
- nohinvertible
- nonunvertible
- nonjnvertible
- nonknvertible
- nononvertible
- non9nvertible
- non8nvertible
Etymology of NONINVERTIBLE
The word "noninvertible" is formed by combining the prefix "non-" and the adjective "invertible".
- The prefix "non-" is derived from the Latin word "non", meaning "not" or "without". It is commonly used in English to denote negation or absence of a quality.
- The adjective "invertible" is formed from the verb "invert", which has its origins in the Latin word "invertere". "Invertere" is composed of "in-" (meaning "into" or "in") and "vertere" (meaning "to turn"). Therefore, "invertible" means capable of being turned or reversed.
When these two elements are combined, the resulting word "noninvertible" conveys the idea of something that is not capable of being turned or reversed.
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