# 2x2 Symmetric Matrix with Positive Eigenvalues.

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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

(See attached.)

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