How many different matricies can you form using only the elements in N, and using every element in N at most once in each matrix.
2006-10-21 04:53:31 · 2 answers · asked by dimenti0 1 in Science & Mathematics ➔ Mathematics
Ok, obviously let n be the number of elements in N. And of course the set had no duplicate elements (please check the definition of a set lol). And n! is not the right answer. Consider N = {1,2} Now 2! = 2 However we have 6 matricies that can be formed in this case.
2006-10-21 05:18:24 · update #1
YES. The transpose IS considered a different matrix. And please note that it CAN'T be symmetric. Remember we are using each element in N at most once in each matrix.
2006-10-21 05:28:27 · update #2
Let n be the number of elements in N. Then I would say n!, but that assumes that there are no duplications within your set.
Ok, if it's not n!, try (n+1)!
:-)
2006-10-21 05:14:02 · answer #1 · answered by Dave 6 · 0⤊ 0⤋
Further information, is the transpose of the matrix(provided it is not symmtric) considered a different matrix?
2006-10-21 12:20:55 · answer #2 · answered by Anonymous · 0⤊ 0⤋