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anonymous
 5 years ago
Help with proving W = (1,2,4x+3Y) not a vector
anonymous
 5 years ago
Help with proving W = (1,2,4x+3Y) not a vector

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0are there any more details to this question?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x and y are real numbers and V = R3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Help with proving W = (1x,2y,4x+3Y) not a vector , x and y are real numbers and V = R3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0not a vector or not a vector space?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0not a vector sub space

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay, makes more sense now

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it appears to pass the conditions to be a subspace of R^3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how to prove with addition

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Let \[\vec{a}=(x_1,2y_2,4x_1+3y_1)\] and \[\vec{b}=(x_2,y_2,4x_2+3y_2)\] be in W

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Now \[\vec{a}+\vec{b}=(x_1+x_2,y_1+y_2,4x_1+3y_1+4x_2+3y_2)\] group and factor the third component to get \[(x_1+x_2,y_1+y_2,4(x_1+x_2)+3(y_1+y_2))\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0since \[x_1,x_2,y_1,y_2\in \mathbb{R}\] clearly this vector sum of arbitrary vectors in W is in W

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I should have made the statement about \[x_1,x_2,y_1,y_2\in \mathbb{R}\] first of course

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thank you I am reviewing to make sure I understand.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0would it work the same if W = x,2y,4x  3Y

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it should, but I have not tried it, Proving a subspace is one of those "turn the crank" type proofs in linear algebra that may seem a little abstract at first but once yo get the process down is straight forward but sometimes tedious...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0IS W subspace of V, W is the set of all functions F(0)=1 , V=C(\[\infty\],\[\infty\])
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