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Math Help - Product of Matrix Non singular???

  1. #1
    mns
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    Exclamation Product of Matrix Non singular???

    Product of Matrix Non singular???
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by mns View Post
    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
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    mns
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    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
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by mns View Post
    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
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