Hi, i need some help in understanding the following question: Let V be the vector space of all 2x2 matrices over a field F. Show that V has dimension 4 over F.
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Try to find a basis for V.
Originally Posted by alexmahone Try to find a basis for V. ok, to find a basis for V, i must show that it is linearly independent and that it spans the vector space. but where and how do i start to do this?
Originally Posted by ibnashraf ok, to find a basis for V, i must show that it is linearly independent and that it spans the vector space. but where and how do i start to do this? How about four 2x2 matrices, each with one 1 (at each position) and three 0's?
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