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anonymous · Answer

idek but youre a human calculator so i bet you got this :)
I say false just because I have a 50 50 chance lol

fibonaccichick666 · Answer

well, let me think here... in order for an eigenvalue to equal zero, what would we need

anonymous · Answer

maybe one column to be zero

fibonaccichick666 · Answer

that means det(A-rI)=r(a...a)

fibonaccichick666 · Answer

right?  We would need the r to equal zero, which means it can be factored out

anonymous · Answer

yep totally agree. In this case we only have one eigenvalue i.e. 0

fibonaccichick666 · Answer

ok, so, we need a square matrix in order to get an eigenvalue right?

anonymous · Answer

yep or you can't get a determinant

fibonaccichick666 · Answer

which means, if we need to be able to factor out an r from each term, but r =0, we would have to have zeroes in the diagonal

anonymous · Answer

kinda didnt understand this part

fibonaccichick666 · Answer

this is speculation, do you agree?

anonymous · Answer

yes

fibonaccichick666 · Answer

so, not only would we have zeroes in the diagonal one way, but the other way too

anonymous · Answer

we would have zero matrix?

fibonaccichick666 · Answer

well, we could still get zero if we had one zero in each right?

anonymous · Answer

one zero is each _____ ?

fibonaccichick666 · Answer

I'm thinking of a diagonal matrix,with one zero in the diagonal

anonymous · Answer

oh okay! makes sense

fibonaccichick666 · Answer

well, can that have a zero nullity?

fibonaccichick666 · Answer

or a nullity less than 1?

anonymous · Answer

i dont think so

fibonaccichick666 · Answer

ok, I'm gonna go with you on that, now, let's see is there any other way to get a zero eigenvalue?

anonymous · Answer

I know that singular matrix would get zero eigenvalue

fibonaccichick666 · Answer

and would have a nullity of 1 correct

anonymous · Answer

nullity is the nullspace right?

fibonaccichick666 · Answer

anonymous · Answer

alright. Thank you

fibonaccichick666 · Answer

but I would have @SithsAndGiggles, or @ganeshie8 check it out when they are online. I cannot promise that would be correct, but that was my reasoning

anonymous · Answer

okay! If I see them online, I'll let them know

fibonaccichick666 · Answer

Yea, they are the only ones I can think of who may have some idea