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Question: determine the trace of the matrix.!!

Question:determine the trace of the matrix.!!

fatemeh1090 65 Maple 2020
linear-algebra trace
May 11 2020
0

How I can determine the trace of the matrix.

My answer has a lot of differences comparing the result provided in the pdf file (end of the file).

Also, I think we should use from  EQ(4).

what is the problem?

Please help me..

Best

Doc2.pdf

1111.mw


 

restart; x__2 := beta*gamma+2*beta+delta*gamma+delta-alpha-sqrt(alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)/(2*(beta+delta))

y__2 := 1-x__2

J := Matrix([[1-2*x__2-y__2, -x__2], [beta*y__2^2/x__2^2, delta-2*beta*y__2/x__2-alpha*gamma/(gamma+y__2)^2]])

 

 

                            

> 

and y__2*(delta-beta*y__2/x__2)-alpha*y__2/(gamma+y__2) = 0``

Error, reserved word `and` unexpected

  
  NULL

 

 

NULL

TTR := Trace(J)

> 

TTR := 1-2*x__2-y__2+delta-2*beta*y__2/x__2-alpha*gamma/(gamma+y__2)^2

-beta*gamma-2*beta-delta*gamma+alpha+(alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)^(1/2)/(2*beta+2*delta)-2*beta*(1-beta*gamma-2*beta-delta*gamma-delta+alpha+(alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)^(1/2)/(2*beta+2*delta))/(beta*gamma+2*beta+delta*gamma+delta-alpha-(alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)^(1/2)/(2*beta+2*delta))-alpha*gamma/(gamma+1-beta*gamma-2*beta-delta*gamma-delta+alpha+(alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)^(1/2)/(2*beta+2*delta))^2

 (1)

s := diff(TTR, alpha)

1+(1/2)*(-2*beta*gamma-2*delta*gamma+2*alpha-4*beta-2*delta)/((alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)^(1/2)*(2*beta+2*delta))-2*beta*(1+(1/2)*(-2*beta*gamma-2*delta*gamma+2*alpha-4*beta-2*delta)/((alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)^(1/2)*(2*beta+2*delta)))/(beta*gamma+2*beta+delta*gamma+delta-alpha-(alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)^(1/2)/(2*beta+2*delta))+2*beta*(1-beta*gamma-2*beta-delta*gamma-delta+alpha+(alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)^(1/2)/(2*beta+2*delta))*(-1-(1/2)*(-2*beta*gamma-2*delta*gamma+2*alpha-4*beta-2*delta)/((alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)^(1/2)*(2*beta+2*delta)))/(beta*gamma+2*beta+delta*gamma+delta-alpha-(alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)^(1/2)/(2*beta+2*delta))^2-gamma/(gamma+1-beta*gamma-2*beta-delta*gamma-delta+alpha+(alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)^(1/2)/(2*beta+2*delta))^2+2*alpha*gamma*(1+(1/2)*(-2*beta*gamma-2*delta*gamma+2*alpha-4*beta-2*delta)/((alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)^(1/2)*(2*beta+2*delta)))/(gamma+1-beta*gamma-2*beta-delta*gamma-delta+alpha+(alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)^(1/2)/(2*beta+2*delta))^3

 (2)

NULL

NULL


 

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