4 ms·
the determinant of the matrix {{1,0,0},{0,1,0},{e_1,e_2,e_3}} is e_3 so <0,0,1>. it's completely specified by the order of A and B - there are two possible ord
by MiroF 6y ago
the determinant of the matrix {{1,0,0},{0,1,0},{e_1,e_2,e_3}} is e_3 so <0,0,1>.
it's completely specified by the order of A and B - there are two possible orders and two possible vectors.
- a1369209993 6y agoIt's not specified at all because there is no such matrix - the e_i are vectors, not scalars. At best it's a convenient mnemonic abbreviation for something decided on some other basis; that's like saying that the gradient is 'specified' by the 'vector' ∇ = <∂/∂x,∂/∂y,∂/∂z>.