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Algebra II Solutions for Control No 2 by MiguelAntonioMartínezVillalón is a document available to read on EtoBox.

This document contains solutions to problems regarding properties of matrices and determinants. Specifically: 1) It is shown that the set S = {a ∈ R | A ∈ U(M_R(4))} is equal to {-3, 1} where A is a 4x4 matrix with entries dependent on a. 2) It is shown that the determinant of a 4x4 matrix A with entries dependent on a is equal to a^5 - 1/(a-1). 3) It is shown that if a matrix A is antisymmetric, then A is unitary if n is odd. Also, if a matrix A is unitary and A^2 = A, then the

Author

MiguelAntonioMartínezVillalón

Language

EN