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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]
 one year ago
 one year 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]
 one year ago
 one year 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
 one year 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
 one year 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?
 one year ago

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

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

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

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