Definition for 2 by 2

posted Feb 23, 2015, 4:37 PM by Javad Taghia   [ updated Feb 23, 2015, 5:26 PM ]
Theorem:
A= (a,b;c,d) is a 2 × 2 symmetric matrix A if:


1. positive definite if and only if a > 0 and det(A) > 0 
2. negative definite if and only if a < 0 and det(A) > 0
3. indefinite if and only if det(A) < 0 



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Ċ
Javad Taghia,
Feb 23, 2015, 5:26 PM
Ċ
Javad Taghia,
Feb 23, 2015, 4:38 PM
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