- #1

transgalactic

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T(T(1,2))=T(3,4)=(3,4)

(1,2) and (3,4) are linearly independant and form a basis of R2, so (3,4) spans ImT. Therefore dim(imT)=1, and obviously dim(kerT)=1, so the transformation is singular."

this is a solution to some problem

i can't understand what is "spans an image"

i got

T(1,2)=(3,4)

and

T(3,4)=(3,4)

i know that the image is the resolt of putting the vector in the transformation

but what meens

"(3,4) spans ImT"

??