I see it as "Without expanding verify that \(\displaystyle \left|\begin{array}{ccc}1 & 2 & 3x \\ 2 & 3 & 6x \\ 3 & 5 & 9x\end{array}\right|= 0\)"
goprth, there are a number of different ways of doing this but we have no idea which ones you know. What properties of determinants do you know? In particular, what do you know about when determinants will be 0? Do you know, for example, about "row (or column) operations" and how they change a matrix?
@stapel.
links is working here.thers no virus in it.
to clarify question.its a determinant.its not matrix.and it is equal to zero.we have to prove that it is equal to zero w/o expanding.
@HallsofIvy
there are seven properties of determinants.Property 4 is if any two rows or two columns of a determinant are equal.its value is zero.
i am finding it difficult to make its two columns are equal.or its two rows are equal.but people dont know how.
This site uses cookies to help personalise content, tailor your experience and to keep you logged in if you register.
By continuing to use this site, you are consenting to our use of cookies.