# Product of Matrix Non singular???

• Aug 2nd 2007, 02:23 AM
mns
Product of Matrix Non singular???
Product of Matrix Non singular???
• Aug 2nd 2007, 04:16 AM
CaptainBlack
Quote:

Originally Posted by mns
Product of Matrix Non singular???

What are you having problems with? the matrix product? showing that the
determinant of the product is the product of the determinants? or the last
part?

if det(AB)=det(A)det(B), and A is singular, then det(A)=0, so det(AB)=0
and so AB is simgular.

RonL
• Aug 2nd 2007, 04:45 AM
mns
Yes i know how to do part A the muliplication but its the next to parts? i dont understand det? an the concept of singular and non singular?
Many thanks my friend
• Aug 2nd 2007, 04:58 AM
topsquark
Quote:

Originally Posted by mns
Yes i know how to do part A the muliplication but its the next to parts? i dont understand det? an the concept of singular and non singular?
Many thanks my friend

The determinant of a 2 x 2 matrix is
$\left | \begin{matrix} a & b \\c & d \end{matrix} \right | = a \cdot d - b \cdot c$

A singular matrix is a matrix with a 0 determinant. A non-singular matrix is a matrix with a non-zero determinant.

-Dan