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Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
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General Characteristic Polynomial for Delay Matrices
Given a square matrix $A$ and a delay matrix $D(\lambda) = \textrm{diag}(\lambda^{m_1},\dots,\lambda^{m_N})$, where all $m_i$'s are integers.
I'm interested in the generalised characteristic polynom …
6
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Matrix Inverse with Same Principal Minors
Given an invertible matrix $A \in \mathbb{R}^{n \times n}$, and index set $\langle n\rangle = \{ 1, \dots, n \}$, and the submatrix $A(\alpha)$ with the columns and rows of $A$ with indices $\alpha \s …