[理工] [線代]-線性映射

[delta1116 (疊歐塔<(￣︶￣)/)]

想請問一個觀念

                  m     n
T為線性映射  T : R ==> R    T(x) = Ax = y

因為 " 行滿秩 <==> N(A) = {0} "

所以 T is " one to one "


那可以根據 " 列滿秩 <==> Lker(A) = {0} "

來判斷  T is " onto " 嗎


因為有個前提

          n
n > m    R 中映射不到的向量不一定會在 Lker(A)中

因此 Lker(A) = {0} 就能保證 T is onto 嗎?





知道的人可以解答一下嗎?


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