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/sci/ - Science & Math

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4809625 No.4809625 [Reply] [Original]

Can someone explain how I would do this? I'm at a complete loss of ideas.

>> No.4809634

Sorry for the cut off. The only thing that I didn't write in was "Suppose".

>> No.4809641

>linear transformation
So <span class="math">Tv + Tu = T(u + v) [/spoiler] and <span class="math">\lambda T v = T ( \lambda v) [/spoiler].

>> No.4809640

3 of the first subtract 5 of the second

>> No.4809669

>>4809640

How did you get 3 and 5?

>> No.4809670

>>4809669
from the entries with zeros in one 4-vector you can determine the multiple of the other 4-vector to get the 4-vector whose image is to be determined

>> No.4809672

>>4809669
I'm not >>4809640, but look at the 4th coordinate: it's a 6, and you can only get a 6 by multiplying the first vector by 3. Then look at the 2nd coordinate: you can only get that by multiplying the second vector by -5. Everything else luckily works out fine.

>> No.4809687 [DELETED] 

>>4809670

Wait so you take 2+1+0=3 as the first multiple
And then -1+2+4=5 as the second multiple

So it become [11;-7;-20]?

>> No.4809696

>>4809672

But then what about the 1st and 3rd coordinates? I don't see where the -2 or the 7 comes from.

>> No.4809697

>>4809696
read the last sentence of that post you dumb ass.

>> No.4809704

>>4809697

Ooooh, now I get it. It's luck that they're equal to -2, and 7, not lucky that they're irrelevant.

Thanks guys.