Recent content by Hwng10

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    Prove one to one using rank-nullity theorem

    I really have no idea no how to prove this question . Do I need to prove it for general T or I just need to find an example which satisfies all the properties above ??
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    Prove one to one using rank-nullity theorem

    Homework Statement Let V and W be finite dimensional vector spaces.Given dim(V)≤ dim(W) , prove that there exists a one-to-one linear transformation T : V -> W . Homework Equations The Attempt at a Solution What I want to prove here is to show that nullity=0 dim(V) ≤ dim (W)...
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    Prove infinitely many prime of the form 6k+5

    Homework Statement Prove that there are infinitely many prime of the form 6k+5, where k is nonnegative integer. Homework Equations The Attempt at a Solution Prove by contradiction. Suppose there are finitely many prime of the form 6k+5. Then i get stucked. Anyone can help me ??
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    Why does the limit of 1/x² not exist as x approaches zero?

    Homework Statement Show limit 1/x^2 when x approaches zero does not exist. Homework Equations The Attempt at a Solution What I do is suppose the limit exists,say L.Then I show that for all real number L, the limit does not approaches L. In this case, I separate L into different...