Questions:
Symmetric Matrix with Positive Eigenvalues.
Suppose that both eigenvalues of a 2 x 2 symmetric matrix B are positive. Which of the following statements are true?
i) The system Bx = b has a unique solution for each b.
ii) B is positive definite.
iii) The system dx = Bx is stable.
dt
A. i) only
B. ii) only
C. iii) only
D. i) and ii)
E. All of these