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Am i an idiot or is my friend an idiot ?

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Thread replies: 11
Thread images: 2

File: VMVonR2_700w_0.jpg (9KB, 218x219px) Image search: [Google]
VMVonR2_700w_0.jpg
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I have a linear transformation T:R^n->R^n and some basis B for R^n ,and i know the representation matrix of T relative to basis B ,[T]_B.
if i want to find out the representation matrix for T with respect to the standard basis E={e_1,..,e_n} .So i'll just create the matrix
([T]_B*[e_1]_B ,...,[T]_B*[e_n]_B) and that will be the representation matrix of T relative to the standard basis am i right?
if not then what hell?
>>
To apply the transform T to a vector written in the standard basis you normally have to do three things:

>Rewrite the vector into base B
>Apply the T to the rewritten vector
>Transform the result back into base E

Those three operations can all be done with one matrix multiplication each so the composition of those three operations is just applying the product of those matrices.
>>
>>8885712
Yes that's what i meant by [T]_B*[e_i]_B ,i will convert e_i to the coordinates in base B then multiply it with the matrix [T]_B and ill have the i'th vector of the representation matrix of T with relative to base E.
is this what you also meant?
>>
>>8885699
Use LaTeX you dumbfuck.
>>
>>8885719
My baboon mind cant comprehend how LaTeX works
>>
>>8885721
>comes for help
>refuses to make his post readable
>blames it on being stupid

found the retard.
>>
0/10

no latex
>>
>>8885746
>>8885736
Can you show me an example of how to write in latex ?
>>
File: tx.png (9KB, 328x285px) Image search: [Google]
tx.png
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>>8885762
>>
i'm given [math][T]_B[/math] and need to find [math][T]_E[/math] ,so [math][T]_E=([T]_B[e_1]_B,...,[T]_B[e_n]_B)[/math] ,where for each [math][T]_B[e_i]_B [/math] is a column vector.
>>
>>8885782
>>8885799
>i'm given [T]B[T]B and need to find [T]E[T]E ,so [T]E=([T]B[e1]B,...,[T]B[en]B)[T]E=([T]B[e1]B,...,[T]B[en]B) ,where for each [T]B[ei]B[T]B[ei]B is a column vector.

Thank you i thought ill have to go and use a compiler some where else !
Thread posts: 11
Thread images: 2


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