As the topic says, I don't know how to determine or for any n x m matrix
I know this section falls under determinants but I am kind of having a hard time finding online resources for this section
I thought I new matrices pretty well, but you will have to tell me what " " represents. At a guess, I might take it to mean the permutations used in defining the determinant of a matrix:
The determinant of an n by n matrix can be defined as .
Where is a permutation of {1, 2, 3, ..., n}, [tex]sgn(\sigma)[/itex] is 1 if is an even permutation, -1 if it is an odd permutation, and the sum is take over all such permutations.
But that doesn't make sense, nor does your "I know this section falls under determinants", because an "n by m matrix" only has a determinant if m= n.
sorry my question was asked rather incorrectly
in one of the examples i took down in class our proffessor asked us to determine the [tex]sgn(\sigma)[\MATH]
where eg
[1 2 3
3 2 1]
a 2x3 matrix
i dont know how to solve this or what significance this has with matrices
im sorry if my english isn't good