My Math Forum how to tell if something is closed under addition and scalar multipliction f

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 March 25th, 2015, 03:18 PM #1 Member   Joined: Jan 2015 From: Colorado Posts: 32 Thanks: 0 how to tell if something is closed under addition and scalar multipliction f I am having serious trouble trying to figure out this whole, "being closed under addition and scalar multiplication" Our example is Let W={[a,b,c]:a+b=4c;b=2c} I need to figure out if it is closed under addition and scalar multiplication, I am not sure how to do this though.. do I just add a+b=4c and b=2c together? If you could help explain this to me, I'll greatly appreciate it! Thank you!
 March 26th, 2015, 01:31 PM #2 Global Moderator   Joined: May 2007 Posts: 6,823 Thanks: 723 Notation? W={...}. Explain.

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