constant matrix (english) - meaning, definition, translation, pronunciation

Part of Speech

Noun

Phonetic Transcription

/ˈkɒnstənt ˈmætrɪks/

Meaning and Usage

A "constant matrix" refers to a matrix in which all entries are constant values, typically used in mathematics, particularly in linear algebra. In a constant matrix, each element does not change, giving it a fixed value across its rows and columns.

• Frequency of Use: This term is primarily used in written form, especially in mathematical texts, scholarly articles, and technical documentation. It may appear in oral contexts, but less frequently compared to its written occurrences, as conversations about matrices typically arise in academic or professional settings.

Example Sentences

1. A constant matrix can simplify calculations in linear transformations.
   Constant matrix, используемый для упрощения расчетов в линейных преобразованиях.

2. In this problem, we need to find the eigenvalues of a constant matrix.
   В этой задаче нам нужно найти собственные значения постоянной матрицы.

3. You can represent a constant matrix in MATLAB using a simple command.
   Вы можете представить постоянную матрицу в MATLAB с помощью простой команды.

Idiomatic Expressions

The term "constant matrix" is not commonly found in idiomatic expressions. However, the term "constant" itself features in various expressions, which can provide related insights:

1. Constant companion - Something or someone that is always at your side.

2. "My phone has become my constant companion."
   Мой телефон стал моим постоянным спутником.

3. Constant flow - A steady and ongoing influx of something.

4. "The river maintained a constant flow throughout the year."
   Река поддерживала постоянный поток в течение всего года.

5. Constant struggle - A continuous battle or effort.

6. "Living in a big city can be a constant struggle for some people."
   Жизнь в большом городе может быть постоянной борьбой для некоторых людей.

7. Constant vigilance - The state of being watchful and alert.

8. "It requires constant vigilance to keep the project on track."
   Это требует постоянной бдительности, чтобы держать проект на правильном пути.

Etymology

The term "constant" comes from the Latin "constans," which means "standing firm, stable." "Matrix" originates from the Latin word "mater," meaning "mother," which historically referred to the origin or source of something. In mathematics, it evolved to signify a rectangular arrangement of numbers or symbols.

Synonyms and Antonyms

Synonyms

• Fixed matrix
• Static matrix
• Immutable matrix

Antonyms

• Variable matrix
• Dynamic matrix
• Changing matrix