[理工] 線代
(1) An elementary matrix is a matrix that can be obtained by
a sequence of elementary row operations on an identity
matrix.
F:看不出來錯在哪...
(2) Suppose that A is an invertible matrix and u is a solution
T T
of Ax=[ 5 6 7 8] . The solution of Ax=[ 5 6 7 8 ] differs
-1
from u by 2p3,where p3 is the third column of A .
T:要怎麼證明??
n m
(3) Every function from R to R has a standard matrix.
F:要為linear transformation?
(4) A function is uniquely determined by the images of
the standard vectors in its domain.
F:不太懂原因
n m
(5) Every function f: R -> R preserves scalar mutiplication.
F:要linear?
n m
(6)如果我們是T:R -> R ;其中m=\=n,有可能T is one-to-one and
onto嗎??? 也就是說T反存在嗎? 我覺得是不存在...
感謝回答
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◆ From: 123.193.7.20
推
11/05 13:42, , 1F
11/05 13:42, 1F
thx
※ 編輯: KAINTS 來自: 123.193.7.20 (11/05 14:05)
推
11/05 15:20, , 2F
11/05 15:20, 2F
→
11/05 15:22, , 3F
11/05 15:22, 3F
A反中的第三行向量
※ 編輯: KAINTS 來自: 123.193.7.20 (11/05 15:29)
→
11/05 15:34, , 4F
11/05 15:34, 4F
※ 編輯: KAINTS 來自: 123.193.7.20 (11/05 15:37)
→
11/05 15:38, , 5F
11/05 15:38, 5F
推
11/05 15:43, , 6F
11/05 15:43, 6F
推
11/05 15:47, , 7F
11/05 15:47, 7F
→
11/05 15:47, , 8F
11/05 15:47, 8F
※ 編輯: KAINTS 來自: 123.193.7.20 (11/05 15:50)
推
11/05 16:05, , 9F
11/05 16:05, 9F
→
11/05 16:10, , 10F
11/05 16:10, 10F
推
11/05 17:49, , 11F
11/05 17:49, 11F
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