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Math Help - Determinants

  1. #1
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    Determinants

    Hi all, just wondering whether determinants are distributive or not?
    ie does
    det(A+B)=det(A)+det(B)?
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  2. #2
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    Quote Originally Posted by Nicholas View Post
    Hi all, just wondering whether determinants are distributive or not?
    ie does det(A+B)=det(A)+det(B)?
    Consider A = \left( {\begin{array}{*{20}c}<br />
   1 & 1  \\<br />
   0 & 1  \\<br /> <br />
 \end{array} } \right)\;\& \,B = \left( {\begin{array}{*{20}c}<br />
   0 & { - 1}  \\<br />
   1 & 0  \\<br /> <br />
 \end{array} } \right)
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