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
Chapter 1 Systems of Linear Equations | 1 |
Chapter 2 Matrix Algebra | 34 |
Chapter 3 Determinants | 59 |
Copyright | |
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augmented matrix basis vectors calculate CHAPTER characteristic equation characteristic polynomial coefficient column space column vector complex conjugate complex numbers complex vector space components Consider Cramer's rule Demystified det|A det|B diagonal elements eigenvalues eigenvectors elementary matrix elementary row operations entry EXAMPLE find a solution Find the determinant Find the eigenvalues Find the matrix Find the row function Gauss–Jordan elimination given gives Hermitian conjugate Hermitian matrix identity matrix inner product linear combination linear equations linear system linear transformation linearly independent lower triangular matrix LU decomposition matrix multiplication matrix representation McGraw-Hill Companies normalized eigenvectors null space number of rows obtain orthogonal orthonormal basis pivot 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 system Ax system of linear Take the transpose tr(A unitary matrix vector addition zero vector