- Thread starter
- #1
- Jan 29, 2012
- 661
I quote an unsolved question from MHF posted by user jackGee on February 3rd, 2013.
P.S. Of course, I meant in the title and instead of an.
[Let T:V->W Be A Linear Transformation
Where V and W are vector spaces over a Field F
let a={v1,v2,...,vn} be a basis for V and b={w1,w2,....,wm} be a basis for W
a) Prove that T is surjective if and only if the columns of [T]ba span Fn
b) Prove that T is injective if and only if the columns of [T]ba are linearly independent in Fn
P.S. Of course, I meant in the title and instead of an.
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