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This is a question about skew-symmetric matrix. Please refer to the picture. Show that each 4 x 4 skew-symmetric matrix can be written uniquely as

This is a question about skew-symmetric matrix. Please refer to the picture.

Show that each 4 x 4 skew-symmetric matrix can be written uniquely as - b -c 0 T -C b 0 Z y a 0 + - Z b C 0 - a O y a

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