Constrained positive deÖnite matrixes
Example
Solvex 12 +x 22 !min,x 1 +x 2 = 1 , 2 x 1 + 3 x 2 = 4.The only solution isx 1 =(^)
1 1
4 3
(^)
(^)
(^)
1 1
2 3
(^)
(^)
= 1 ,x 2 =
(^)
1 1
2 4
(^)
(^)
(^)
1 1
2 3
(^)
(^)
= 2.
But as one should checkn p=0 determinants there is nothing to
check. In this case the theorem formally does not applicable.