Invitation to linear algebra / David C. Mello
- Author
- Mello, David C. (David Cabral), 1950-
- Published
- Boca Raton, FL : CRC Press, [2017]
- Physical Description
- xiii, 394 pages ; 27 cm.
- Series
- Contents
- Machine generated contents note: UNIT I Matrices and Linear Systems -- 1.Introduction to Matrices -- 2.Matrix Multiplication -- 3.Additional Topics in Matrix Algebra -- 4.Introduction to Linear Systems -- 5.The Inverse of a Matrix -- UNIT II Determinants -- 6.Introduction to Determinants -- 7.Properties of Determinants -- 8.Applications of Determinants -- UNIT III A First Look at Vector Spaces -- 9.Introduction to Vector Spaces -- 10.Subspaces of Vector Spaces -- 11.Linear Dependence and Independence -- 12.Basis and Dimension -- 13.The Rank of a Matrix -- 14.Linear Systems Revisited -- UNIT IV More About Vector Spaces -- 15.Sums and Direct Sums of Subspaces -- 16.Quotient Spaces -- 17.Change of Basis -- 18.Euclidean Spaces -- 19.Orthonormal Bases -- UNIT V Linear Transformations -- 20.Introduction to Linear Transformations -- 21.Isomorphisms of Vector Spaces -- 22.The Kernel and Range of a Linear Transformation -- 23.Matrices of Linear Transformations -- 24.Similar Matrices -- UNIT VI Matrix Diagonalization -- 25.Eigenvalues and Eigenvectors -- 26.Diagonalization of Square Matrices -- 27.Diagonalization of Symmetric Matrices -- UNIT VII Complex Vector Spaces -- 28.Complex Vector Spaces -- 29.Unitary and Hermitian Matrices -- UNIT VIII Advanced Topics -- 30.Powers of Matrices -- 31.Functions of a Square Matrix -- 32.Matrix Power Series -- 33.Minimal Polynomials -- 34.Direct Sum Decompositions -- 35.Jordan Canonical Form -- UNIT IX Applications -- 36.Systems of First Order Differential Equations -- 37.Stability Analysis of First Order Systems -- 38.Coupled Oscillations.
- Subject(s)
- Genre(s)
- ISBN
- 9781498779562 hardcover
1498779565 hardcover - Bibliography Note
- Includes bibliographical references and index.
View MARC record | catkey: 20494849