Re: [問題] 94 中央 線代
※ 引述《xan222 ()》之銘言：
: 第六題 http://140.115.130.224:8080/~arhui/cexamn/exam/EC02_94_03.pdf
: [1 2 3 2 1]
: 6. Express the image of the matix A = [3 6 9 6 3]
: [1 2 4 1 2]
: [2 4 9 1 5]
: as the kernel of a matrix B.
: 請問這題是要求 ker(A) 嗎?
令A^T = [1 3 1 2] N(A^T)=SPAN{[-3] [-1]}
[2 6 2 4] [ 1] [ 0]
[3 9 4 9] [ 0] [-1]
[2 6 1 1] [ 0],[ 1]
[1 3 2 5]
取 B = {[-3,1,0,0],[-1,0,-1,1]}
N(A)^T = R(B)^T
⊥ ⊥
N(B) = R(B)^T = N(A)^T = R(A)
找到類似題, 它應該是要表示 N(B) = R(A)
先導出 N(A)^T = R(B)^T 找出 B
然後利用 四大空間垂直的概念去作轉換
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