Transcription of Linear Algebra, Theory And Applications
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Linear Algebra, Theory And ApplicationsKenneth KuttlerJanuary 29, 2012 Saylor URL: Saylor Foundation2 Saylor URL: Saylor FoundationContents1 Sets And Set Notation .. Functions .. The Number Line And Algebra Of The Real Numbers .. Ordered fields .. The Complex Numbers .. Exercises .. Completeness ofR.. Well Ordering And Archimedean Property .. Division And Numbers .. Systems Of Equations .. Exercises .. Algebra inFn.. Exercises .. The Inner Product InFn.. What Is Linear Algebra? .. Exercises .. 362 Matrices And Linear Matrices .. TheijthEntry Of A Product .. Digraphs .. Properties Of Matrix Multiplication .. Finding The Inverse Of A Matrix .. Exercises .. Linear Transformations .. Subspaces And Spans .. An Application To Matrices .. Matrices And Calculus .. The Coriolis Acceleration.
best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however. I think that the subject of linear algebra is likely the most significant topic discussed in undergraduate mathematics courses.
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