Let V be the real vector space of all 3×3 hermitian matrices with complex entries. Find a basis for V.

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- Sep 11th 2009, 11:17 AMiheartmathrookieFinding a basis
Let V be the real vector space of all 3×3 hermitian matrices with complex entries. Find a basis for V.

- Sep 11th 2009, 02:41 PMHallsofIvy
- Sep 11th 2009, 02:47 PMsiclar
Let be the matrix with a 1 in the ij position and 0 elsewhere.

Can you show

, ,

form a basis? - Sep 11th 2009, 02:50 PMsiclar
- Sep 12th 2009, 03:47 AMHallsofIvy
Right. For some reason, my eyes passed right over the word "Hermitian"!