Question

若A是5阶方阵,且A的秩为3,即R(A)=3,则R(A*)=?

Answer 1

(A*) = 0.

知识点:

设A是n阶方阵,则

若 r(A) = n,则 r(A*) = n

若 r(A) = n-1,则 r(A*) = 1

若 r(A) < n-1,则 r(A*) = 0