1
$\begingroup$

New user here. I want to sign a determinant, using known qualitative conditions on the components. any help appreciated. dummy example below. thanks.

mat = {{a, b}, {c, c^2}};
MatrixForm[%] ; 
det = FullSimplify[Det[mat]] ; 
Sign[det] | a > 0 & b > 0 & c < 0
$\endgroup$
  • 3
    $\begingroup$ Something like FullSimplify[Sign[Det[{{a, b}, {c, c^2}}]], a > 0 && b > 0 && c < 0]? $\endgroup$ – J. M.'s technical difficulties Mar 24 at 16:14
  • 1
    $\begingroup$ You could also try Simplify[det > 0] to see the conditions, which are a c^2 > b c. $\endgroup$ – Chris K Mar 24 at 16:15

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.