Question: Let A be a symmetric tridiagonal matrix (i.e., A is symmetric and aij = 0 whenever |i - j | > 1). Let B be

Let A be a symmetric tridiagonal matrix (i.e., A is symmetric and aij = 0 whenever |i - j | > 1). Let B be the matrix formed from A by deleting the first two rows and columns. Show that
det(A) = a11 det(M11) - a212det(B)

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Expanding det A by cofactors using the first row we get det A a 11 det M 11 a ... View full answer

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