(adsbygoogle = window.adsbygoogle || []).push({}); Linear combinations?? :S

Hey, could som1 please explain linear combinations. I copied down the lecture notes but i'm not understanding this example may hav typo from the note takin

Example: Show that each of the vectors

w1 = (1, 0), w2= (0, 1) and w3 = (3, 3) are a linear combination of

v1 = (2,2) and v2 = (3,2)

write w1 = a1(2, 2) + a2(3, 2)

Equate components:

1.2a1+3a2 = 1

2.2a1+2a2 = 0

1.-2.

a2 = 1, plug back into2.a1 = -1

ie. w1 -v1+v2

Similarly w2 = 3v1/2 - v2

& w1 = 3v1/2 + 0v2

Tanx

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# Homework Help: Linear combinations? :S

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