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# Topics Selected from Linear Algebra and Matrix Theory

Whereas Appendix A deals with general linear spaces and linear operators, the current appendix restricts the attention to linear spaces with finite dimension, i.e. and . With that, all that has been said in Appendix A also holds true for the topics of this appendix.

## B.1 VECTORS AND MATRICES

Vectors in and are denoted by bold-faced letters, e.g. f, g. The elements in a vector are arranged either vertically (a column vector) or horizontally (a row vector). For example:

The superscript T is used to convert column vectors to row vectors. Vector addition and scalar multiplication are defined as in Section A.1.

A matrix H with dimension N × M is an arrangement of NM numbers hn,m (the elements) on an orthogonal grid of N rows and M columns:

The elements are real or complex. Vectors can be regarded as N × 1 matrices (column ...

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