1974Canadian Mathematical BulletinOpen access

When is a Matrix Positive

Daniël Brand

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Abstract

Throughout this note we shall use the following conventions and notations: All matrices have entries in the field of complex numbers. I denotes the identity matrix with compatible dimensions. A* is the conjugate transpose of a matrix A. A being self adjoint means A = A*.

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Throughout this note we shall use the following conventions and notations: All matrices have entries in the field of complex numbers. I denotes the identity matrix with compatible dimensions. A* is the conjugate transpose of a matrix A. A being self adjoint means A = A*.

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Available abstract

Throughout this note we shall use the following conventions and notations: All matrices have entries in the field of complex numbers. I denotes the identity matrix with compatible dimensions. A* is the conjugate transpose of a matrix A. A being self adjoint means A = A*.

Key concepts: Mathematics, Transpose, Identity matrix, Matrix (chemical analysis), Algebra over a field, Notation, Field (mathematics), Identity (music)

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