作者skyhigh8988 (Aesthetic)
看板Math
标题[线代] 关於一个推导中的问题
时间Thu Feb 24 21:51:15 2011
这一个证明的过程有一个点不懂
L:R^n --> R^m
with the two bases
E=[u1,,,,,,un]
F=[b1,,,,,,,,bn]
then the reduced row echelon form of (b1,,,,,,,bm | L(u1),......L(un))
is (I|A)
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PROOF:
Let B=(b1,,,,,,,,bm). The matrix (B | L(u1),,,,,,,,,,L(un))
is row equivalent to B^-1 ( B | L(u1),,,,,,,,,L(un)
我想问的是为什麽前面乘一个B的反矩阵仍然会row euqivalent
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1F：推 znmkhxrw :应该是因为B是basis 写成n by n後的determinant不为0 02/25 00:30
2F：→ znmkhxrw :所以B^-1也是 02/25 00:30
3F：→ skyhigh8988 :谢谢您^_^我懂了 02/25 16:56