“inverse matrix”的概念、定义、习题解题方法及翻译-数学辞典

单词

inverse matrix

释义

inverse matrix

An inverse of a square matrix A is a matrix X such that AX = I and XA = I. (A matrix that is not square cannot have an inverse, though it may have a left inverse or a right inverse.) A square matrix A may or may not have an inverse, but if it has then that inverse is unique and A is said to be invertible. A matrix is invertible if and only if it is not singular. Consequently, the term ‘non‐singular' is sometimes used for ‘invertible'.

When det A ≠ 0, the matrix (1/detA) adjA is the inverse of A, where adjA is the adjugate of A. For example, the 2×2 matrix A below is invertible if ad − bc ≠ 0, and its inverse A−1 is as shown:

随便看

数学辞典收录了4151条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。