Let the operator R effect on the four vectors |4), |4), |) and 24) with action: R |4,.) = 2i |2,) , R |2,) = -4i |4,) R |2,) = 5|2,) and R|4,)= (3-i)|2,) (a) Construct 4-dimensional matrix P that representing the action of the operator R. (b) If the operator Q can be representing by matrix , where Q= the complex conjugate of matrix P. Find the matrix Q.

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Q1:
Let the operator R effect on the four vectors |2,), 4), |4) and |24) with action:
R |4,)= 2i |4,) , ÂR |2,)=-4i |2,) Ř |2,) = 5|2,) and R|2,) = (3-i)|2,)
%3D
(a) Construct 4-dimensional matrix P that representing the action of the operator R.
(b) If the operator Q can be representing by matrix , where Q= the complex conjugate
of matrix P. Find the matrix Q.
Transcribed Image Text:Q1: Let the operator R effect on the four vectors |2,), 4), |4) and |24) with action: R |4,)= 2i |4,) , ÂR |2,)=-4i |2,) Ř |2,) = 5|2,) and R|2,) = (3-i)|2,) %3D (a) Construct 4-dimensional matrix P that representing the action of the operator R. (b) If the operator Q can be representing by matrix , where Q= the complex conjugate of matrix P. Find the matrix Q.
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