Thank's everyone. But what if the matrix is non-square? Carm, can you help?

Answer 1

If your matrix is not square, then you can compute a generalized inverse matrix. There are some links below. There are many generalized inverses for matrices (other than those that are square and invertible; those only have one generalized inverse, which is its inverse). But there is only one Moore-Penrose inverse for any given matrix.

edit: reetz, I have already reported you for copying. I suggest you back off.

Answer 2

If your matrix, M, is a 3 X 2 matrix, the inverse, M-1, would be a 2X3 matrix.

(M)(M-1) would result in a 3 X 3 identity matrix.

Similarly (M-1)(M) would result in a 2 X 2 identity matrix.

e.g.

(M)(M-1)=I

(1 2) (a b c)
(3 0) (x y z)
(0 1)

=

(100)
(010)
(001)

Solve for a,b,c,x,y,z and check to see that (M-1)(M) also gives an identity matrix.

Answer 3

number of line and number of column are not same for example
3 4 5 6
6 7 8 9
1 2 3 4 (3x4) i=3 j=4 i<>j

Answer 4

see .lol.If your matrix is not square, then you can compute a generalized inverse matrix. There are some links below. There are many generalized inverses for matrices (other than those that are square and invertible; those only have one generalized inverse, which is its inverse). But there is only one Moore-Penrose inverse for any given matrix.

Answer 5

The inverse of a non-square matrix is not defined.

Answer 6

Repeat the original question, please