{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 2.11 行列式" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "对于方阵,其行列式 $\\det(\\mathbf{A})$ 是一个矩阵到实数的映射,它等于矩阵所有特征值的乘积。\n", "\n", "行列式的绝对值可以看成是乘上这个矩阵后空间的变化情况,如果行列式为 0,乘上这个矩阵会使得空间体积变为 0,如果行列式为 1,乘上这个矩阵是保持体积的操作。" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }