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###### (2) (10 points) Find(Extra credit, 5 points) Let 012 013 044 03 042 a2 021 02 024 B = a4 018 0J 031 032 03 024 Q4l 012 041 042 043 an Gp 021 be two antisymmetric matrices, where 04k ~Oti, or AT = -A and BT B. Show tat AB = BA and present this diagonal matrix &s follows BA = AB = (a12414 + 013024 + 021C3) [, where [ iS the X 4-identity matrix: Find A-I and B-! . (H: Minkowski; 1908)

(2) (10 points) Find (Extra credit, 5 points) Let 012 013 044 03 042 a2 021 02 024 B = a4 018 0J 031 032 03 024 Q4l 012 041 042 043 an Gp 021 be two antisymmetric matrices, where 04k ~Oti, or AT = -A and BT B. Show tat AB = BA and present this diagonal matrix &s follows BA = AB = (a12414 + 013024 + 021C3) [, where [ iS the X 4-identity matrix: Find A-I and B-! . (H: Minkowski; 1908)

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