The common-submatrix Laplace expansion
classification
🧮 math.AC
keywords
expansiondeterminantlaplacerestrictedaccountingclassicalcommoncommon-submatrix
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We state and prove a classical version of the Laplace expansion theorem where all submatrices in the expansion are restricted to contain a specified common submatrix (CSM). The result states that (accounting for signs) this restricted expansion equals the determinant of the original matrix times the determinant of the CSM.
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