Linear algebra in plain view

= Part I =

Systems of Linear Equations

 * Introduction ([[Media:LEQ.1.A.Introduction.20120827.pdf |pdf]])
 * Row Reduction ([[Media:LEQ.2.A.RowReduction.Basic.20150117.pdf |A.pdf]], [[Media:LEQ.2.B.RowReduction.CAS.20150117.pdf |B.pdf]])
 * Matrices Operations ([[Media:LEQ.3.A.MatrixOp.20150109.pdf |pdf]])
 * Elementary Matrix ([[Media:LEQ.4.A.ElementaryMat.20150115.pdf |pdf]])
 * Determinants ([[Media:LEQ.4.A.Determinant.20150113.pdf |pdf]])
 * LU Factorization ([[Media:LEQ.5.A.LUFactor.20151014.pdf |pdf]])

Vector Spaces (I)
q & a ([[Media:qa.20121211.pdf |pdf]])
 * Euclidean Vector Space ([[Media:VSP.1.A.Euclid.20150113.pdf |pdf]])
 * Matrix Transformation ([[Media:VSP.2.A.MatrixTrans.20121110.pdf |pdf]])
 * General Vector Space ([[Media:VSP.3.A.General.20150121.pdf |pdf]])
 * Fundamental Matrix Spaces ([[Media:VSP.3.A.Fundamental.20121124.pdf |pdf]])
 * EigenSpaces of a Matrix ([[Media:VSP.5.A.EigenSpace.20121203.pdf |pdf]])
 * Fundamental Spaces Note ([[Media:FSpaces.H1.20151211.pdf |H1.pdf]])
 * Projection Theorem Note ([[Media:Projection.H2.20151218.pdf |H2.pdf]])

Inner Product Spaces
= Part II =

Systems of Linear Equations

 * Solving Systems of Linear Equations ([[Media:SystemLinEq.20240711.pdf |pdf]])
 * Reduced Row-Echelon Form
 * Types of Solution Sets
 * Homogeneous Systems of Equations
 * Nonsingular Matrices

Vector Spaces

 * Vector Spaces
 * Subspaces
 * Linear Independence
 * Spanning Sets
 * Bases
 * Dimension
 * Properties of Dimension

Representations
go to [ Electrical_%26_Computer_Engineering_Studies ]