Question: Let A be an n x n tridiagonal Toeplitz matrix with a on the diagonal and b on the superdiagonal and subdiagonal. (a) If a

Let A be an n x n tridiagonal Toeplitz matrix with a on the diagonal and b on the superdiagonal and subdiagonal. (a) If a > 0, what constraint on a and b is necessary and sufficient for positive definiteness? (b) Take a = 1.9 and b = -1. How large can the matrix be before it ceases to be positive definite

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