# how do u prove these claims?

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• Feb 8th 2009, 11:59 AM
szpengchao
how do u prove these claims?
http://www.mathhelpforum.com/math-he...1&d=1234126619

i think the first part, we can say that assume A represents a linear map $\alpha : V\longrightarrow W$ and dimV is greater than dimW. So alpha is surjective which means n(A) is nonzero.

And k is the least number makes the linear map surjective, which means, dimV=dimW+1, and n(A)=1

but i got no idea with (b) and etc.