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I need an EXTREMELY thorough answer (please don\'t leave out anything, even if i

ID: 2970830 • Letter: I

Question


I need an EXTREMELY thorough answer (please don't leave out anything, even if it seems like simple matrix multiplication, since I'm clearly missing something here) and please use the method shown in the example below:



Thank you!

Transition matrix for ordered bases and the inverse matrix I need an EXTREMELY thorough answer (please don't leave out anything, even if it seems like simple matrix multiplication, since I'm clearly missing something here) and please use the method shown in the example below:

Explanation / Answer

a)

let's try to write the vectors of B1 as linear combination of elements of B2

(2,2) = a(-1,2)+b(3,0)

(1,-2) = c(-1,2)+d(3,0)

The first system leads to :

3b-a=2

2a=2

So a=1 and b=1

The second one we see that c=-1 and d=0

So the transition matrix is

1 -1

1 0

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