Assume that T is a linear transformation. Find the standard

pogonofor9z 2021-12-26 Answered
Assume that T is a linear transformation. Find the standard matrix of T.
T: R2R4, T(e1)=(3,1,3,1), and T(e2)=(5,6,0,0), where e1=(1,0) and e2=(0,1)
A=
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Expert Answer

Joseph Fair
Answered 2021-12-27 Author has 34 answers
Let xFn. Here, [x1xn]
T(x)=T(jejxj)=jT(ej)xj
=jAjxj=Ax
So, here A=[T(e1)T(en)]
According to question
T: R2R4, T(e1)=(3,1,3,1), and T(e2)=(5,6,0,0)
So, the standart matrix of T is [T(e1)T(e2)]
=[35163010] - Answer
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Beverly Smith
Answered 2021-12-28 Author has 42 answers
karton
Answered 2021-12-30 Author has 368 answers

let T=[abcdefgh]
T(e1)=(3,1,3,1)
T(10)=(3131)
[abcdefgh][10]=[3131]
[aceg]=[3131]a=3,c=1,e=3,g=1
T(e2)=(5,6,0,0)
T(10)=(5600)
[abcdefgh][10]=[5600]
[bdfh]==[5600]b=5,d=6,f=h=0
T=[35163010]

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