TY - BOOK AU - Golan,Jonathan S. TI - The linear algebra a beginning graduate student ought to know SN - 940072635X U1 - 512.5 PY - 2012/// CY - New York PB - Springer KW - Linear algebra N1 - Includes index; Notation and terminology.- Fields.- Vector spaces over a field.- Algebras over a field.- Linear independence and dimension.- Linear transformations.- The endomorphism algebra of a vector space.- Representation of linear transformations by matrices.- The algebra of square matrices.- Systems of linear equations.- Determinants.- Eigenvalues and eigenvectors.- Krylov subspaces.- The dual space.- Inner product spaces.- Orthogonality.- Selfadjoint Endomorphisms.- Unitary and Normal endomorphisms.- Moore- Penrose pseudoinverses.- Bilinear transformations and forms.- Summary of Notation ER -