Linear Algebra DemystifiedTaught at junior level math courses at every university, Linear Algebra is essential for students in almost every technical and analytic discipline. |
Contents
Preface | x |
Chapter 1 Systems of Linear Equations | xii |
Chapter 2 Matrix Algebra | xlv |
Copyright | |
12 other sections not shown
Common terms and phrases
augmented matrix basis vectors calculate characteristic equation characteristic polynomial coefficient column space column vector complex conjugate complex numbers complex vector space components Consider Cramer’s rule defined Demystified det|A diagonal elements eigenvalues eigenvectors elementary matrix elementary row operations entry EXAMPLE find Find the determinant Find the eigenvalues Find the matrix first column first equation first pivot first row Gauss-Jordan elimination given gives Hermitian conjugate Hermitian matrix identity matrix inverse linear combination linear equations linear system linear transformation linearly independent lower triangular matrix matrix multiplication matrix representation McGraw-Hill Companies normalized eigenvectors null space number of rows obtain orthogonal orthonormal basis real numbers reduce the matrix row and column row canonical form row echelon form row space row vector satisfied scalar multiplication second row Show span standard basis subspace symmetric matrices Systems of Linear Take the transpose unitary matrix vector addition write zero vector