Russian Translation(s) & Details for 'matrix'

English Word: matrix

Key Russian Translations:

• матрица (/ˈmatrʲɪtsə/) - [Formal, Technical, Singular; Used in mathematical, scientific, or computing contexts]

Frequency: Medium (Common in academic, technical, and professional settings, but less frequent in everyday conversation)

Difficulty: B2 (Intermediate; Requires familiarity with technical vocabulary and basic Russian grammar structures)

Pronunciation (Russian):

матрица: /ˈmatrʲɪtsə/

Note on матрица: The stress is on the first syllable, and the 'р' is a rolled 'r'. Be mindful of the palatalized 'т' sound, which is common in Russian nouns.

Audio: []

Meanings and Usage:

1. A rectangular array of numbers, symbols, or expressions arranged in rows and columns (Mathematical context)

Translation(s) & Context:

• матрица - Used in formal mathematical discussions, such as in algebra or linear algebra.

Usage Examples:

• Русский пример: В линейной алгебре матрица используется для представления систем уравнений. (In linear algebra, a matrix is used to represent systems of equations.)

  English Translation: In linear algebra, a matrix is used to represent systems of equations.

• Русский пример: Каждая матрица имеет определённое количество строк и столбцов. (Each matrix has a specific number of rows and columns.)

  English Translation: Each matrix has a specific number of rows and columns.

• Русский пример: Учёные часто работают с матрицами в компьютерном моделировании. (Scientists often work with matrices in computer modeling.)

  English Translation: Scientists often work with matrices in computer modeling.

• Русский пример: Матрица в этом уравнении должна быть квадратной. (The matrix in this equation must be square.)

  English Translation: The matrix in this equation must be square.

• Русский пример: Для решения задачи нам понадобится инвертировать матрицу. (To solve the problem, we need to invert the matrix.)

  English Translation: To solve the problem, we need to invert the matrix.

2. A surrounding substance or structure within which something originates or is contained (Broader context, e.g., biological or metaphorical)

Translation(s) & Context:

• матрица - Used metaphorically in biology or general contexts, such as a matrix in a cell or material.

Usage Examples:

• Русский пример: В биологии матрица митохондрии играет ключевую роль в энергетическом обмене. (In biology, the mitochondrial matrix plays a key role in energy exchange.)

  English Translation: In biology, the mitochondrial matrix plays a key role in energy exchange.

• Русский пример: Городская матрица определяет структуру улиц и зданий. (The urban matrix defines the structure of streets and buildings.)

  English Translation: The urban matrix defines the structure of streets and buildings.

• Русский пример: В этой ткани матрица обеспечивает прочность материала. (In this fabric, the matrix ensures the material's strength.)

  English Translation: In this fabric, the matrix ensures the material's strength.

Russian Forms/Inflections:

"Матрица" is a feminine noun (feminine gender in Russian). It follows the standard first declension pattern for feminine nouns ending in -а. Below is a table outlining its inflections:

Note: This word does not have irregular inflections, making it relatively straightforward for learners.

Russian Synonyms/Antonyms:

• Synonyms:
  • массив (massiv) - Similar in computing contexts, but more general for arrays.
  • система (sistema) - Used metaphorically for structured systems.
• Antonyms:
  • хаос (khaos) - Implies disorder, contrasting with the organized structure of a matrix.

Related Phrases:

• матрица умножения (matritsa umnozheniya) - Multiplication matrix; a phrase used in linear algebra for matrix multiplication operations.
• единичная матрица (edinitchnaya matritsa) - Identity matrix; refers to a matrix that, when multiplied by another, leaves it unchanged.
• транспонированная матрица (transponirovannaya matritsa) - Transposed matrix; common in data analysis and mathematics.

Usage Notes:

The Russian word "матрица" directly corresponds to the English "matrix" in technical fields like mathematics and science, but it is less commonly used in casual conversation. Always use it in formal contexts to maintain accuracy. When choosing between translations, "матрица" is the most precise for mathematical arrays, while in biological contexts, it might overlap with "основа" (osnova) for a foundational structure. Pay attention to gender agreement in sentences, as it affects adjectives and verbs (e.g., "эта матрица важна" - this matrix is important). Learners should practice declensions to avoid errors in complex sentences.

Common Errors:

• Error: Using "матрикс" (an incorrect borrowing from English) instead of "матрица". Correct: Stick to "матрица" as the standard Russian form. Explanation: Russian adapts foreign words to its grammatical system, so avoid direct transliterations.

• Error: Failing to decline the noun properly, e.g., saying "в матрица" instead of "в матрице". Correct: Use the prepositional case "в матрице" for phrases like "in the matrix". Explanation: This is a common mistake for beginners due to Russian's case system, which English lacks.

Cultural Notes:

In Russian culture and education, "матрица" is heavily emphasized in STEM fields due to Russia's strong tradition in mathematics and physics. It often appears in educational contexts, such as in textbooks or university lectures, reflecting the country's historical contributions to science, like those of mathematicians Nikolai Lobachevsky. However, it doesn't carry unique cultural idioms beyond its technical use.

Related Concepts:

• вектор (vektor)
• детерминант (determinant)
• линейное пространство (lineynoe prostranstvo)