[線代] 關於一個推導中的問題
這一個證明的過程有一個點不懂
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)
我想問的是為什麼前面乘一個B的反矩陣仍然會row euqivalent
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