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Results tagged with linear-algebra
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user 243942
For questions on linear algebra, including vector spaces, linear transformations, systems of linear equations, spanning sets, bases, dimensions and vector subspaces.
3
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How to show that $Im(f) = B$ iff $f$ is onto?
Let $f : A → B$
My teacher said that $\text{Im}(f)=\{f(b):b\in A\} = B$ iff $f$ is onto. I know that this statement is true because it is kind of obvious but is there a way to prove it?
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Dual Space of $R^{n}$? [duplicate]
My teacher said (without explaining why) that because $R^{n}$ is finite dimensional then set of all linear functions (Dual space) is equal to the set of all continuous linear functions. Can someone ex …