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conjugate-load-matrix-ratsimp-sqrt-transpose

P: matrix( [25/73,-64...

ratsimp(P.P-P);

transpose(conjugate(P...

Calculate

conjugate-matrix-transpose

a:matrix([%i,%i]);

%i.a;

transpose(a);

Calculate

conjugate-imagpart-realpart-solve-subst

z:a+%i*b;

conjugate(z)-3*%i*z-3...

[realpart(%),imagpart...

Calculate

conjugate-matrix-ratsimp-sqrt-transpose

P: matrix( [25/73,-64...

ratsimp(P.P-P);

X: matrix( [13*%i-5],...

Calculate

conjugate-exp-linsolve-ratsimp-rhs

eq1:1/m0*(A+B)=1/m1*(...

eq2:%i/m0*k0*(A-B)=%i...

eq3:1/m1*(C*(exp(%i*k...

Calculate

conjugate-ev-invert-matrix-sqrt

w: -1/2 + sqrt(-3)/2;

w_: conjugate(w);

BaseX: ev(matrix([w_/...

Calculate

conjugate-cos-exp-integrate-pi-sin-sqrt

eq1:Y_(0,0) = 1/sqrt(...

eq2:Y_(1,-1) = sqrt(3...

eq3:Y_(1,1) = -sqrt(3...

Calculate

conjugate-exp-expand

M:1+exp(%i*w*T)*exp(%...

MM:expand(M*M);

MconvM:expand(M*conju...

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conjugate-diag_matrix-matrix-sqrt-transpose

P:matrix([%i/sqrt(2),...

PP=conjugate(transpos...

D:diag_matrix(0,sqrt(...

Calculate

conjugate-load-matrix-ratsimp-sqrt-transpose

P: matrix( [25/73,-64...

ratsimp(P.P-P);

transpose(conjugate(P...

Calculate

conjugate

Run Example
(%i1)? conjugate ;

 -- Function: conjugate (<x>)
     Returns the complex conjugate of <x>.

          (%i1) declare ([aa, bb], real, cc, complex, ii, imaginary);

          (%o1)                         done
          (%i2) conjugate (aa + bb*%i);

          (%o2)                      aa - %i bb
          (%i3) conjugate (cc);

          (%o3)                     conjugate(cc)
          (%i4) conjugate (ii);

          (%o4)                         - ii
          (%i5) conjugate (xx + yy);

          (%o5)             conjugate(yy) + conjugate(xx)


(%o1)                                true
(%i2) 
Run Example
conjugate(2+i4);
(%o1)                               i4 + 2
(%i2) 
Run Example
i: %i;
(%o1)                                 %i
(%i2) z1: A+B*i;
(%o2)                              %i B + A
(%i3) z2: C+D*i;
(%o3)                              %i D + C
(%i4) z3: E+F*i;
(%o4)                              %i F + E
(%i5) Icp: i*(z1-z2);
(%o5)                     %i (- %i D - C + %i B + A)
(%i6) Icn: -i*z3;
(%o6)                           - %i (%i F + E)
(%i7) Ucp: z2-i*Icp*x;
(%o7)                x (- %i D - C + %i B + A) + %i D + C
(%i8) Ucn: z3-i*Icn*x;
(%o8)                      - x (%i F + E) + %i F + E
(%i9) realpart(Ucn);
(%o9)                               E - x E
(%i10) imagpart (Ucn);
(%o10)                              F - x F
(%i11) Ucpc: conjugate(Ucp);
(%o11)                x (%i D - C - %i B + A) - %i D + C
(%i12) Icpc: conjugate(Icp);
(%o12)                    - %i (%i D - C - %i B + A)
(%i13) P: Ucpc*Icn+Ucn*Icpc;
(%o13) - %i (%i D - C - %i B + A) (- x (%i F + E) + %i F + E)
                           - %i (x (%i D - C - %i B + A) - %i D + C) (%i F + E)
(%i14) C: simplify(P);
(%o14) simplify(- %i (%i D - C - %i B + A) (- x (%i F + E) + %i F + E)
                          - %i (x (%i D - C - %i B + A) - %i D + C) (%i F + E))
(%i15) 
[abs,bfloat,conjugate,kill,log,rectform,sin,solve,sqrt] [abs,bfloat,conjugate,kill,log,rectform,solve,sqrt] [abs,carg,conjugate,declare,imagpart,polarform,realpart] [abs,carg,conjugate,demoivre,imagpart,realpart] [abs,carg,conjugate,imagpart,polarform,realpart] [abs,conjugate,expand] [complex,conjugate,declare,matrix,transpose] [complex,conjugate,declare,ratsimp,realpart] [complex,conjugate,declare,ratsimp] [conjugate,cos,eigenvectors,factor,matrix,sin,transpose] [conjugate,cos,exp,integrate,pi,sin,sqrt] [conjugate,cos,expand,matrix,sin,sqrt,transpose] [conjugate,cos,factor,matrix,sin,sqrt] [conjugate,cos,matrix,sin,sqrt,transpose] [conjugate,cos,matrix,sin,sqrt] [conjugate,cos,matrix,sin] [conjugate,declare,diff,exp] [conjugate,declare,imagpart] [conjugate,declare,realpart] [conjugate,declare] [conjugate,diag_matrix,matrix,sqrt,transpose] [conjugate,diff,phi,sqrt] [conjugate,diff] [conjugate,ev,invert,load,matrix,simp,sqrt,true] [conjugate,ev,invert,load,matrix,sqrt] [conjugate,ev,invert,matrix,sqrt] [conjugate,eval,invert,load,matrix,sqrt] [conjugate,exp,expand] [conjugate,exp,integrate] [conjugate,exp,linsolve,ratsimp,rhs] [conjugate,exp,transpose] [conjugate,expand] [conjugate,gramschmidt,integrate,load,map,matrix] [conjugate,gramschmidt,integrate,load,map] [conjugate,imagpart,plot2d,realpart] [conjugate,imagpart,realpart] [conjugate,integrate,phi] [conjugate,integrate] [conjugate,invert,load,matrix,sqrt,true] [conjugate,invert,matrix,sqrt,true] [conjugate,matrix,ratsimp,sqrt,transpose] [conjugate,matrix,simp,sqrt,true] [conjugate,matrix,sqrt,transpose] [conjugate,matrix,sqrt] [conjugate,matrix,transpose] [conjugate,numer] [conjugate,plot2d] [conjugate,sqrt] [conjugate,transpose] [conjugate]

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