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Hello I was learning about determinants and matrices. I learned the generalization of getting the determinant of an n by n matrix. I then applied this to vector space (i + j + k) via a cross product and noticed that you leave the i j and k in their own columns in the first row of the matrix. What's the idea behind this? Can you give an example when you leave this part in elsewhere? Does this happen only when applying matrices to vector space? I didn't take linear algebra yet and if you could clear this up I'd really appreciate it. Thank you