Journal of Formalized Mathematics
Volume 14, 2002
University of Bialystok
Copyright (c) 2002 Association of Mizar Users

## Linear Combinations in Real Unitary Space

Noboru Endou
Gifu National College of Technology
Takashi Mitsuishi
Miyagi University
Yasunari Shidama
Shinshu University, Nagano

### Summary.

In this article, we mainly discuss linear combination of vectors in Real Unitary Space and dimension of the space. As the result, we obtain some theorems that are similar to those in Real Linear Space.

#### MML Identifier: RUSUB_3

The terminology and notation used in this paper have been introduced in the following articles [10] [5] [17] [12] [2] [18] [1] [3] [4] [14] [11] [6] [13] [16] [9] [15] [8] [7]

#### Contents (PDF format)

1. Definition and Fundamental Properties of Linear Combination
2. Definition of the Basis of Real Unitary Space
3. Some Theorems of Lin, Sum, Carrier
4. Subspaces of Real Unitary Space Generated by One, Two, or Three Vectors
5. Auxiliary Theorems

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