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abrar_hunza
 4 years ago
.show that the following are spanning sets for R3
{(1,1,1)transpose (1,1,0)transpose (1,0,0)transpose}
abrar_hunza
 4 years ago
.show that the following are spanning sets for R3 {(1,1,1)transpose (1,1,0)transpose (1,0,0)transpose}

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shaan_iitk
 4 years ago
Best ResponseYou've already chosen the best response.1any coordinate in R3 (a,b,c) can be given in terms of linear combination of the three vectors...

abrar_hunza
 4 years ago
Best ResponseYou've already chosen the best response.0but how to find linear combination

shaan_iitk
 4 years ago
Best ResponseYou've already chosen the best response.1x + y + z = a x + y = b x = c y = b  c z = a  b hence linear combination is (a  b)(1,1,1) + (bc) (1,1,0) + c(1,0,0) for any (a,b,c)
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