Why the proof of closure under addition in Linear Map is $(T+S)(u+v)$ instead of $(T+S)(u)$ and $(T)(u+v)$? - Mathematics Stack Exchange

I am reading Linear Algebra Done Right and want to prove that $L(V, W)$ is a vector space. I have read the solution here: Why the proof of closure under addition in Linear Map is $(T+S)(u+v)$ inst

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MHD flow of time-fractional Casson nanofluid using generalized Fourier and Fick's laws over an inclined channel with applications of gold nanoparticles

Solved Let u and v be vectors in R. It can be shown that

In linear algebra, when proving V is a vector space, instead of doing all of the ten properties, if V is closed under addition and is closed under scaler multiplication, can I

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How to Prove a Set is Not Closed Under Vector Addition

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