英语翻译Choose a positive integer n.Put the n points which divid
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英语翻译
Choose a positive integer n.Put the n points which divide the unit circle(单位圆) into n equal parts.Let be the image of under the transformation defined by the matrix
Draw the lines form the origin O to all the n points .And draw line segments from each to its image .(To make the graph clearer you may draw all the in red and all the in black.)
Observe the difference between the directions of each vector and and thus know how the direction of changes to that of .Is there any having the same directions as its image If so,how many are there then?
In the course of linear algebra one learns that if a nonzero vector is sent to parallel to(平行于) u by a linear transformation namely,if the direction of and are the same or opposite or ,and thus for a scalar ,then is called an eigenvector(特征向量) of ,while the scalar is called the eigenvalue(特征值).If one observes a vector having the same direction as its image ,then this is an eigenvector of .(If and have the opposite direction ,is also an eigenvector.)
有些公式打不出来..
逐句翻译也可,只要通顺能明白什么意思就OK
Choose a positive integer n.Put the n points which divide the unit circle(单位圆) into n equal parts.Let be the image of under the transformation defined by the matrix
Draw the lines form the origin O to all the n points .And draw line segments from each to its image .(To make the graph clearer you may draw all the in red and all the in black.)
Observe the difference between the directions of each vector and and thus know how the direction of changes to that of .Is there any having the same directions as its image If so,how many are there then?
In the course of linear algebra one learns that if a nonzero vector is sent to parallel to(平行于) u by a linear transformation namely,if the direction of and are the same or opposite or ,and thus for a scalar ,then is called an eigenvector(特征向量) of ,while the scalar is called the eigenvalue(特征值).If one observes a vector having the same direction as its image ,then this is an eigenvector of .(If and have the opposite direction ,is also an eigenvector.)
有些公式打不出来..
逐句翻译也可,只要通顺能明白什么意思就OK
选择一个正整数n把n个点的分化单位圆(单位圆)成n相等的部分.让我们根据所定义的矩阵变换的图像
画线的形式起源O到所有的n个点.并从中每一个形象线段.(为了让你可以更清晰的图形绘制中的所有红色和黑色所有.)
遵守两国间的每一个向量的方向和差异,从而知道如何改变方向,这对.是否有任何有作为的形象同样的方向?如果是这样,有多少人呢?
在线性代数一门课程学习,如果一个非零向量被发送到平行(平行于)由线性变换ü即,如果方向相同或相反的,或者和一个标量,因此,当时被称为1特征向量(特征向量)的,而标量称为特征值(特征值).如果注意到有一个向量作为它的形象同一个方向,那么这是一个特征向量.(如果有相反的方向,也是一个特征向量.)
画线的形式起源O到所有的n个点.并从中每一个形象线段.(为了让你可以更清晰的图形绘制中的所有红色和黑色所有.)
遵守两国间的每一个向量的方向和差异,从而知道如何改变方向,这对.是否有任何有作为的形象同样的方向?如果是这样,有多少人呢?
在线性代数一门课程学习,如果一个非零向量被发送到平行(平行于)由线性变换ü即,如果方向相同或相反的,或者和一个标量,因此,当时被称为1特征向量(特征向量)的,而标量称为特征值(特征值).如果注意到有一个向量作为它的形象同一个方向,那么这是一个特征向量.(如果有相反的方向,也是一个特征向量.)
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