Last Updated：2025/12/03

(group theory) Any group of invertible matrices over a specified field, with the group operation of matrix multiplication.

音声機能が動作しない場合はこちらをご確認ください

See correct answer

matrix group

Source Word

matrix group

Noun

(group theory) Any group of invertible matrices over a specified field, with the group operation of matrix multiplication.

Japanese Meaning

群論において、指定された体上の可逆行列全体が行列の乗法を群演算として構成する群。

The researchers studied the structure of a matrix group acting on a vector space over a finite field.

研究者たちは有限体上のベクトル空間に作用する行列群の構造を研究した。

Sense（1）

(group theory) Any group of invertible matrices over a specified field, with the group operation of matrix multiplication.

The properties of matrix groups are of great importance for representation theory.

matrix groups

（ plural ）