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求救!線性代數的rank和reduced row echelon form的問題

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求救!線性代數的rank和reduced row echelon form的問題

請問一下這一題敘述用這種方式解釋對嗎?
(2)The rank of a m*n matrix A can not be zero, the term "full rank" means the rank of A equals m.
[自解]
No!零矩陣無rank,且full rank=min(m,n),即m,n中取最小值,不一定等於m


那想請問以下兩題是對的還是錯的?又該怎麼解釋呢?我不會寫
(7)Let Rref is the reduced row echelon form of matrix A, then the column space exactly equal to C(Rref) and the same for null space N(A)=N(Rref)

(9)IF rank of A, an m*n matrix, is n, then the nullity(i.e. dimension of null space) is 0.
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