Re: [理工] [線代]-行列式證明題
※ 引述《ruby791104 (阿年:))》之銘言:
: 2.Let A and B be 2 ×2 matrices.
: (a)Does det(A+B) = det(A) + det(B)?
Wrong
Eg. A = B = I
: (b)Does det(AB) = det(A)det(B)?
Right
only 2*2
You can expand it.
: (c)Does det(AB) = det(BA)?
Right
det(AB) = det(A)det(B)
= det(B)det(A)
= det(BA)
: Justify answers.
: 以上,麻煩好心的大大!(鞠躬
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