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onto and one to one are not props of a matrix.they belong to functions

talking about matrix transformations I assume

it also belongs to matrix in linear algebra!

That's not true, you can assign such properties to any transformation.

http://www.mast.queensu.ca/~spencer/apsc174/11onto.pdf

oh.thanks guys,i'm just a high school level mathematician :)

@TuringTest Can you explain it to me?!

@TuringTest it's all yours :)

I also have class in about 5 min...

Sorry for wasting your time! @TuringTest

So when it has only solution Ax = 0, it will be one to one?!

sorry no

ok and if n

the null space must be zero, so no solutions

I get confused

has no*

invertible means the det. is not equal zero?

right
it also implies like 12 other equivalent facts about the matrix

:(

Nullspace is the solution space to Ax=0. nullity is the dimension of the nullspace

right

ah damn

am i late?

No

thats nic of u @TuringTest

if it's invertible so it's one-to-one?

non-square matrices aren't invertible.

I know that
and if the det is = 0 so it's not invertible

how about onto?

1 2
2 1
2 1

This is not one - to -one
right?!

Why not? Solve it for Ax=0

how can I know if it's onto?

Check if it's consistent for Ax=b. for every b?