Matrix Algebra Useful for Statistics

by Khuri, André I.

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Title Statements

Full title :Matrix Algebra Useful for Statistics.

Edition Statements

Publication Date:2017.
Edition:2nd ed

Publication Statements

Publisher(s):John Wiley & Sons, Incorporated
Place of Publication:Somerset
Language:eng
Publication Date:2017.

Notes

5.2 Matrices Having all Elements Equal.

The Physical Object

Description:1 online resource (515 pages)

Edition Identifiers

ISBN:9781118935163, 1118935160
oclc:ocn982452894
LC Classification:QA188
Dewey Decimal:512.9434

Matrix Algebra Useful for Statistics; Contents; Preface; Preface to the First Edition; Introduction; The Introduction of Matrices Into Statistics; References; About the Companion Website; Part 1 Definitions, Basic Concepts, and Matrix Operations; 1 Vector Spaces, Subspaces, and Linear Transformations; 1.1 Vector Spaces; 1.1.1 Euclidean Space; 1.2 Base of a Vector Space; 1.3 Linear Transformations; 1.3.1 The Range and Null Spaces of a Linear Transformation; Reference; Exercises; 2 Matrix Notation and Terminology; 2.1 Plotting of a Matrix; 2.2 Vectors and Scalars; 2.3 General Notation.

Exercises3 Determinants; 3.1 Expansion by Minors; 3.1.1 First- and Second-Order Determinants; 3.1.2 Third-Order Determinants; 3.1.3 n-Order Determinants; 3.2 Formal Definition; 3.3 Basic Properties; 3.3.1 Determinant of a Transpose; 3.3.2 Two Rows the Same; 3.3.3 Cofactors; 3.3.4 Adding Multiples of a Row (Column) to a Row (Column); 3.3.5 Products; 3.4 Elementary Row Operations; 3.4.1 Factorization; 3.4.2 A Row (Column) of Zeros; 3.4.3 Interchanging Rows (Columns); 3.4.4 Adding a Row to a Multiple of a Row; 3.5 Examples; 3.6 Diagonal Expansion; 3.7 The Laplace Expansion.

3.8 Sums and Differences of …