nonsingularity condition for matrix
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Assume A, B, C are 1*3 vectors and P is a 3*1 vector. For the positive definite condition of the matrix[AP,CP;CP,BP] this inequality should be satisfied
I get the feeling that P should be canceled out and so it is unrelated to the solution but I don't know how to start...Sorry this is not a matlab question but a matrix question. I just feel that you should be familiar with matrix if you are using MatrixLab....
the cyclist on 4 Aug 2013
One way to approach to understanding this (mathematically, as you say, more MATLAB) would be to recognize that when
A = [A1 A2 A3];
P = [P1; P2; P3];
A*P = A1*P1 + A2*P2 + A3*P3
and similarly for the other terms in the equation. You can write out all of those relationships to get a feel for what this equation represents.
[I don't think P drops out.]