Linear algebra MOC

Adjugate matrix

The adjugate matrix adj⁡𝑇 of a square matrix 𝑇 ∈M𝑛,𝑛⁡(𝑅) is the transpose of its cofactor matrix cof⁡𝑇. linalg

Properties

For 𝑇 ∈𝑀𝑛,𝑛(𝑅), we have

1. (adj⁡𝑇)𝑇 =𝑇(adj⁡𝑇) =(det𝑇)1𝑛 by the Laplace expansion of the matrix determinant

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