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The quasi principal rank characteristic sequence (qpr-sequence) of an $n\\times n$ symmetric matrix is introduced, which is defined as $q_1 q_2 \\cdots q_n$, where $q_k$ is $\\tt A$, $\\tt S$, or $\\tt N$, according as all, some but not all, or none of its quasi-principal minors of order $k$ are nonzero. This sequence extends the principal rank characteristic sequences in the literature, which only depend on the principal minors of the matrix. 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