1	비공개 손님 … 2007-05-13 18:24:49
	행렬식이 뭐지 하고 생각하다가 찾아보니까 determinant를 말하는 거네요. 걍 간단하게 생각해서 행렬식은 부피다 라고 생각하심 편합니다. 그렇게 생각하면 transpose란 단지 축변환이기 때문에 부피가 변하지 않는건 당연하겠죠. 또한 이 때 각각의 eigenvalue는 축상의 값이라고 볼수 있는데 이것들 곱하면 부피가 되겠죠. (eigenvector가 축에 관련된 식) 선형변환으로 변환된 도형에 대해서도 각가의 축에 대해서 eigenvalue 만큼 변한거니까 마찬가지로 이해 가능하고요. 끝.

2	비공개 손님 … 2007-05-13 22:08:05
	다른건 다 알게는데 eigenvalue 관련 한 부분이 이해가 잘 안되요. 만약 mtx A = [1 2; -1 4]라면 characteristic eq. 는 (1-λ)(4-λ) + 2 = λ^2 - 5λ + 6 = (λ - 2)(λ - 3) = 0 이니까 λ1 = 2, λ2 = 3 이겠죠. 그럼 eigenvector 는 A - Iλ 의 nullspace 에서 하나씩 뽑아내면 x1 = [2; 1], x2 = [1; 1] 을 선택 할 수 있습니다. 그러면 λ1, x1 과 λ2, x2 가 원래의 mtx A 와 어떤 관련을 가지는건가요? Ax1 = λ1x1 이거 말구요, 무슨 축이라는게 무슨말인지 잘 모르겠네요. A[1; 1] = [3; 3] 이 되는데, 이 결과를 eigenvalue, eigenvector가 어떻게 연관이 되어서 [3; 3]이 된 것이라고 생각해야 하나요? 그리고, 추가질문. A 가 n by m mtx 일때 n<m 이라면 rank(A) <= n 이잖아요. 그런데 transpose(A) 의 rank 도 n 이하잖아요. 왜 그런거죠? 수식적인것 말구요. 행렬이라는게 숫자를 랜덤으로 배열해도 column rank 나 row rank 가 동일한 이유가 뭔가요? 직관적으로 이해 할 수 있는 이미지 같은게 있나요?

3	비공개 손님 … 2007-05-15 15:04:12
	rank는 행렬의 고유한 값입니다. 임의의 행렬 A 라고 두면 그 행렬의 rank값은 변하지 않죠 즉, column rank = row rank = rank A

4	비공개 손님 … 2007-05-15 17:11:19
	....그러니까 그게 왜 고유한 값인지 좀..

5	비공개 손님 … 2007-05-16 19:00:54
	엘지럼에 고수가 없구나

6	비공개 손님 … 2007-05-18 16:25:40
	그게 수식이 아니면 설명하기가 쫌....

7	비공개 손님 … 2007-06-02 17:02:04 x
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8	비공개 손님 … 2007-06-03 04:29:55 x
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10	비공개 손님 … 2007-09-29 12:10:22 x
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