作者mqazz1 (无法显示)
看板Math
标题[线代] 矩阵表示法的观念
时间Sat May 28 15:55:04 2011
let L be the linear operator mapping R^3 into R^3 define by L(x) = Ax
[ 3 -1 -2 ] [1] [1] [ 0]
A = [ 2 0 -2 ] v1 = [1] v2 = [2] v3 = [-2]
[ 2 -1 -1 ] [1] [0] [ 1]
find the transition matrix V corresponding to a change of basis from
{v1, v2, v3} to {e1, e2, e3}, and use it to determine the matrix B
representing L ith respect to {v1, v2, v3}
========================================================================
我是先令α={v1, v2, v3}, β={e1, e2, e3}
[3 -1 -2] β [1 1 0] α [-2 1 2]
[L] = [2 0 -2] V = [I] = [1 2 -2] [I] = [ 3 -1 -2]
β [2 -1 -1] α [1 0 1] β [ 2 -1 -1]
α [0 0 0]
B = [L] = [I] [L] = [3 -1 -2]
α β β [2 -1 -1]
[0 0 0]
可是书上给的答案是B=[0 1 0]
[0 0 1]
请问我是甚麽地方错了?
谢谢
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1F：→ ert0700 :应该是矩阵表示的意义弄错了 再看一下书 05/28 17:20
※ 编辑: mqazz1 来自: 61.228.26.1 (05/28 23:52)