Eigenvalues and eigenvectors of matrices and linear operators are fundamental in mathematics. This short booklet is intended to be a self-contained treatment of how to determine the eigenvalues and... More > eigenvectors of a square matrix with real entries. It also includes a treatment on diagonalization: how to determine if a square matrix is similar to a diagonal matrix and how to find a diagonalizing matrix.
It includes all the necessary background material and algorithms for computing the characteristic polynomial, eigenvalues and eigenspaces of a square matrix: how to solve linear systems using matrices, how to find a basis for the null space of a matrix, how to invert a matrix and how to compute a determinant. In the interest of making it entirely self-contained each section begins with a review of the relevant definitions.< Less

Eigenvalues and eigenvectors of matrices and linear operators are fundamental in mathematics. This short booklet is intended to be a self-contained treatment of how to determine the eigenvalues and... More > eigenvectors of a square matrix with real entries. It also includes a treatment on diagonalization: how to determine if a square matrix is similar to a diagonal matrix and how to find a diagonalizing matrix.
It includes all the necessary background material and algorithms for computing the characteristic polynomial, eigenvalues and eigenspaces of a square matrix: how to solve linear systems using matrices, how to find a basis for the null space of a matrix, how to invert a matrix and how to compute a determinant. In the interest of making it entirely self-contained each section begins with a review of the relevant definitions.< Less

Linear Algebra by Jim Hefferon is released under the GNU Free Documentation license. Electronic copies may be downloaded for free. Hardcover copies are available for the cost of manufacturing (the... More > publisher receives no additional revenue). The book covers the material of a first undergraduate Linear Algebra course. The coverage is standard: linear systems and Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Prerequisites: a semester of calculus. Students with three semesters of calculus can skip a few sections. The approach is developmental. It does not start with an assumption that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise the level of mathematical maturity of the class.< Less

Linear Algebra by Jim Hefferon is released under the GNU Free Documentation license. Electronic copies may be downloaded for free. Hardcover copies are available for the cost of manufacturing (the... More > publisher receives no additional revenue). The book covers the material of a first undergraduate Linear Algebra course. The coverage is standard: linear systems and Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Prerequisites: a semester of calculus. Students with three semesters of calculus can skip a few sections. The approach is developmental. It does not start with an assumption that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise the level of mathematical maturity of the class.< Less

Answers to exercises presented in Linear Algebra by Jim Hefferon.
This book is released under the GNU Free Documentation license. Electronic copies may be downloaded for free. Paperback copies are... More > available for the cost of manufacturing (the publisher receives no additional revenue).< Less

Answers to exercises presented in Linear Algebra by Jim Hefferon.
This book is released under the GNU Free Documentation license. Electronic copies may be downloaded for free. Paperback copies are... More > available for the cost of manufacturing (the publisher receives no additional revenue).< Less

The Kintecus simulation software has been cited in many peer reviewed journals: JACS, J. Phys. Chem.A, PCCP, J. Biol. Chem., Plas. Chem. Plas. Proc., Int. J. Chem. React. Tech, Arch. Bio. Chem. Bio.... More > Phys., etc. Kintecus is a powerful Industrial Strength/Research Grade chemical modeling, chemical kinetics and equilibrium software for simulation of combustion, nuclear, biological, enzyme, and many other processes via a graphical interface. Isothermal/Non-isothermal, adiabatic constant volume, constant pressure can easily be modeled with a flick of a switch. One can regress constants, initial concentrations, Lindemann/Troe/SRI/LT parameters, enhanced third body factors, initial temperature, etc. against your experimental dataset(s). Software can also perform confidence bands/uncertainty analysis, scan parameters and bootstrap standard errors as well as perform metabolic control analysis via eigenvector/eigenvalue analysis.< Less

The Kintecus simulation software has been cited in many peer reviewed journals: JACS, J. Phys. Chem.A, PCCP, J. Biol. Chem., Plas. Chem. Plas. Proc., Int. J. Chem. React. Tech, Arch. Bio. Chem. Bio.... More > Phys., etc. Kintecus is a powerful Industrial Strength/Research Grade chemical modeling, chemical kinetics and equilibrium software for simulation of combustion, nuclear, biological, enzyme, and many other processes via a graphical interface. Isothermal/Non-isothermal, adiabatic constant volume, constant pressure can easily be modeled with a flick of a switch. One can regress constants, initial concentrations, Lindemann/Troe/SRI/LT parameters, enhanced third body factors, initial temperature, etc. against your experimental dataset(s). Software can also perform confidence bands/uncertainty analysis, scan parameters and bootstrap standard errors as well as perform metabolic control analysis via eigenvector/eigenvalue analysis.< Less

The Kintecus simulation software has been cited in many peer reviewed journals: JACS, J. Phys. Chem.A, PCCP, J. Biol. Chem., Plas. Chem. Plas. Proc., Int. J. Chem. React. Tech, Arch. Bio. Chem. Bio.... More > Phys., etc. Kintecus is a powerful Industrial Strength/Research Grade chemical modeling, chemical kinetics and equilibrium software for simulation of combustion, nuclear, biological, enzyme, and many other processes via a graphical interface. Isothermal/Non-isothermal, adiabatic constant volume, constant pressure can easily be modeled with a flick of a switch. One can regress constants, initial concentrations, Lindemann/Troe/SRI/LT parameters, enhanced third body factors, initial temperature, etc. against your experimental dataset(s). Software can also perform confidence bands/uncertainty analysis, scan parameters and bootstrap standard errors as well as perform metabolic control analysis via eigenvector/eigenvalue analysis.< Less