Find the transformation matrix Let B = <mo fence="false" stretchy="false">{ 2 x

uplakanimkk 2022-07-09 Answered
Find the transformation matrix
Let B = { 2 x , 3 x + x 2 , 1 } , B = { 1 , 1 + x , 1 + x + x 2 }
Need to find the transformation matrix from B to B .
I know that:
( a x 2 + b x + c ) B = ( b 3 c 2 , c , a )
( a x 2 + b x + c ) B = ( a b , b c , c )
How to proceed using this info in order to find the transformation matrix?
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Answers (1)

SweallySnicles3
Answered 2022-07-10 Author has 21 answers
Let B c = ( 1 , x , x 2 ) the canonical basis. Let P B B c the transformation matrix from B c to B and P B B c the transformation matrix from B c to B then the transformation matrix from B to B is
P B B = P B B c ( P B B c ) 1
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