Transcription of Linear Algebra in Twenty Five Lectures
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Linear Algebra in Twenty Five Lectures
Linear Algebra in Twenty Five LecturesTom Denton and Andrew WaldronMarch 27, 2012 Edited by Katrina Glaeser, Rohit Thomas & Travis Scrimshaw1 Contents1 What is Linear Algebra ?122 Gaussian Notation for Linear Systems .. Reduced Row Echelon Form .. 213 Elementary Row Operations274 Solution Sets for Systems of Linear Non-Leading Variables .. 355 Vectors in Space, Directions and Magnitudes .. 466 Vector Spaces537 Linear Transformations588 Matrices639 Properties of Block Matrices .. The Algebra of Square Matrices.. 7310 Inverse Three Properties of the Inverse .. Finding Inverses .. Linear Systems and Inverses .. Homogeneous Systems .. Bit Matrices.
\Schaum’s Outline of Linear Algebra", S. Lipschutz and M. Lipson, McGraw-Hill 2008. A good strategy is to nd your favorite among these in the University Library. There are many, many useful online math resources. A partial list is given in AppendixI. Students have also started contributing to these notes. Clickhereto see some of their work.
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