Linear Algebra in Twenty Five Lectures

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Linear Algebra in Twenty Five LecturesTom Denton and Andrew WaldronMarch 27, 2012Edited by Katrina Glaeser, Rohit Thomas & Travis Scrimshaw1Contents1 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.

G.46 Properties of the Determinant: Practice taking Determinants333 ... to simple online problems that test whether students are actively reading the notes. In addition there are two sets of sample midterm problems with ... \Linear Algebra and Its Applications", David C. Lay, Addison{Weseley 2011.

  Tests, Practices, Algebra