考研数学第一题

R (a ta) = 2,则R (a) = 2,A的初等行变换为

[1 0 1]

[0 1 1]

[0 0 a+1]

[0 a -1]

初等行变换是

[1 0 1]

[0 1 1]

[0 0 a+1]

[0 0 -1-a]

R(A) = 2,而a = -1。