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Answer to Question #2403 in Linear Algebra for gurdeep

Question #2403
Consider the set of all functions [0,1] which are discontinuous. check if this set is a vector space over R with respect to pointwise addition and scalar multiplication

Expert's answer
It is necessary to verify axioms of a vector space.
The verification is direct.
For instance,
If f,g : [0,1]->R are two functions and T is a real number, then
& f+g& and T*f
are also a functions [0,1]->R.

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