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bbillingsley3
Group Title
For number 2, am I doing this correct?
J^b = [Ad(g4g3g2)^1 * {0;0;1} , Ad(g4g3)^1*{0;0;1} , Ad(g4)^1 * {0;0;1}]
J^b = [ (g4g3g2)^1 * {0;0;1} * g4g3g2 , (g4g3)^1 *{0;0;1} * g4g3 , g4^1 * {0;0;1} * g4]
 2 years ago
 2 years ago
bbillingsley3 Group Title
For number 2, am I doing this correct? J^b = [Ad(g4g3g2)^1 * {0;0;1} , Ad(g4g3)^1*{0;0;1} , Ad(g4)^1 * {0;0;1}] J^b = [ (g4g3g2)^1 * {0;0;1} * g4g3g2 , (g4g3)^1 *{0;0;1} * g4g3 , g4^1 * {0;0;1} * g4]
 2 years ago
 2 years ago

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Chipper10 Group TitleBest ResponseYou've already chosen the best response.0
The first part looks right but the second part does not. At the end of the homework there is a formula for the matrix form of the adjoint. you need to multiply that by the [0;0;1]s and THEN invert
 2 years ago

bbillingsley3 Group TitleBest ResponseYou've already chosen the best response.0
I thought that was what I did. For example: I multiplied (g4g3g2)^1 * {0;0;1} * g4g3g2 g4g3g2 is the inverser of (g4g3g2)^1
 2 years ago

bbillingsley3 Group TitleBest ResponseYou've already chosen the best response.0
O nevermind, I think I understand now. I need to multiply J*d for (g4g3g2), right?
 2 years ago

Chipper10 Group TitleBest ResponseYou've already chosen the best response.0
\[Ad_{h^{1}}(g) \neq (Ad_h(g))^{1}\]
 2 years ago

Chipper10 Group TitleBest ResponseYou've already chosen the best response.0
You want to do the latter
 2 years ago

bbillingsley3 Group TitleBest ResponseYou've already chosen the best response.0
How would I calculate Js? Would it be: Js = Ad(ge) * Jb ?
 2 years ago

bbillingsley3 Group TitleBest ResponseYou've already chosen the best response.0
Does Ad(ge) = [Ad(g4g3g2g1)^1*{0;0;1} * (g4g3g2g1)] ?
 2 years ago

Chipper10 Group TitleBest ResponseYou've already chosen the best response.0
I assume you're referring to the 2D case. The formula for the matrix form of the adjoint is given at the end of the homework.
 2 years ago
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