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100   $a20130220d1998      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aBasic Linear Algebra$b[electronic resource] /$fby Thomas S. Blyth, Edmund F. Robertson
205   $a1st ed. 1998.
210  1$aLondon :$cSpringer London :$cImprint: Springer,$d1998.
215   $a1 online resource (XI, 201 p.)
225 1 $aSpringer Undergraduate Mathematics Series,$x1615-2085
300   $aIncludes index.
311   $a3-540-76122-5 
327   $a1. The Algebra of Matrices -- 2. Some Applications of Matrices -- 3. Systems of Linear Equations -- 4. Invertible Matrices -- 5. Vector Spaces -- 6. Linear Mappings -- 7. The Matrix Connection -- 8. Determinants -- 9. Eigenvalues and Eigenvectors -- 10. The Minimum Polynomial -- 11. Solutions to the Exercises.
330   $aBasic Linear Algebra is a text for first year students, working from concrete examples towards abstract theorems, via tutorial-type exercises. The book explains the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations, and complex numbers. Linear equations are treated via Hermite normal forms, which provides a successful and concrete explanation of the notion of linear independence. Another highlight is the connection between linear mappings and matrices, leading to the change of basis theorem which opens the door to the notion of similarity. The authors are well known algebraists with considerable experience of teaching introductory courses on linear algebra to students at St Andrews. This book is based on one previously published by Chapman and Hall, but it has been extensively updated to include further explanatory text and fully worked solutions to the exercises that all 1st year students should be able to answer.
410  0$aSpringer Undergraduate Mathematics Series,$x1615-2085
606   $aAlgebra
606   $aMathematics
606   $aMatrix theory
606   $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000
606   $aMathematics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/M00009
606   $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094
615  0$aAlgebra.
615  0$aMathematics.
615  0$aMatrix theory.
615 14$aAlgebra.
615 24$aMathematics, general.
615 24$aLinear and Multilinear Algebras, Matrix Theory.
676   $a512/.5
700   $aBlyth$b T. S$g(Thomas Scott),$4aut$4http://id.loc.gov/vocabulary/relators/aut$042510
702   $aRobertson$b E. F.$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910792488003321
996   $aBasic Linear Algebra$93732501
997   $aUNINA