作者hieiblack (hieiblack)
看板Math
標題Re: [線代] 算矩陣
時間Mon Nov 21 10:20:20 2011
※ 引述《wsx02 (無酒罐)》之銘言:
: Given 3*3 matrix A and four vectors
: a=[1 1 0]^T, b=[5 3 2]^T, c=[1 3 -1]^T, d=[-2 2 -3]^T
: satisfying Aa=b, Ab=c, Ac=d, find Ad
suppose d=xa+yb+zc
x+5y+c=-2
=> x+3y+3c=-2 => x=2,y=-1,z=1
2y-c=-3
so Ad=A(2a-b+c)=2Aa-Ab+Ac=2b-c+d=[7 5 2]^T
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◆ From: 140.111.9.90
推 wsx02 :請問為什麼可以suppose d=xa+yb+zc? 11/21 10:26
→ THEJOY :因為linear dependent 11/21 10:51