Transcription of Matrices and Linear Algebra
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Matrices and Linear Algebra
Chapter 2 Matrices and Linear BasicsDefinition anm narray of scalars from a givenfieldF. The individual values in the matrix are ^213 124 B=^1234 Thesizeof the array is written asm n,wherem ncAnumber of rows number of columnsNotationA= amn A rowstAAccolumnsA:= uppercase denotes a matrixa:= lower case denotes an entry of a matrixa matrices3334 CHAPTER 2. Matrices AND Linear Algebra (1) Ifm=n, the matrix is (1a) A matrixAis said to bediagonalifaij=0iW=j.(1b) A diagonal matrixAmay be denoted by diag(d1,d2,.. ,dn)whereaii=diaij=0jW= diagonal matrix diag(1,1,.. ,1) is called theidentitymatrixand is usually denoted byIn= or simplyI,whennis assumed to be known.
Chapter 2 Matrices and Linear Algebra 2.1 Basics Definition 2.1.1. A matrix is an m×n array of scalars from a given field F. The individual values in the matrix are called entries.
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