Heres the question:

Attachment 5455

I understand that the answer is |X'| multiplied by |X|. But how do you find the determinant of a non square matrix. I've heard a rumour that they cannot be defined or equal to zero.

Printable View

- March 20th 2008, 07:16 AMBrassyDeterminant of non square matrix
Heres the question:

Attachment 5455

I understand that the answer is |X'| multiplied by |X|. But how do you find the determinant of a non square matrix. I've heard a rumour that they cannot be defined or equal to zero. - March 20th 2008, 07:27 AMbobak

- March 20th 2008, 07:32 AMBrassy
Cheers for the help but I already knew what the multiple of X and X' was. What I want to know is the determinant of the two? Or do you simply find the determinant of the 3x3 matrix that results from multiplying them together? I was led to beleive that:

|X'X| = |X'| x |X|

and given that both X and X' are non square matrices how do you find their determianants? - March 20th 2008, 08:36 AMbobak
the result your trying to use is true for square matrices, I haven't studied matrices in great detail but form what I know it is not possible to find the determinate of a non-square matrix. I believe the question is suppose to be approached by the method I used in my pervious post.