Last Updated
：2025/12/06
Laplace expansion
Noun
Japanese Meaning
数学において、n×n行列の行列式を、各n-1×n-1の小行列（すなわちマイナー）の行列式の重み付き和として表現する手法。
（ plural ）
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(mathematics) An expression for the determinant |B| of an n × n matrix B that is a weighted sum of the determinants of n submatrices (or minors) of B, each of size (n − 1) × (n − 1).
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Laplace expansion
To compute the determinant efficiently, she applied the Laplace expansion along the first row, reducing the n×n matrix to a weighted sum of the determinants of (n−1)×(n−1) minors.
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To compute the determinant efficiently, she applied the Laplace expansion along the first row, reducing the n×n matrix to a weighted sum of the determinants of (n−1)×(n−1) minors.
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