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ECAT Math | Lecture 22 | Solution of System of Linear Equations |Gaussian & Gauss-Jordan Elimination Welcome to the Advanced ECAT Math Course! 🎓 This lecture is a part of my complete ECAT math course designed for entry test preparation for top Pakistani universities, including NUST, FAST, NED, GIKI, PIEAS, and UET. 🔑 What You'll Learn: ● Complete understanding of Math concepts ● Perfect preparation for Pakistani engineering universities entry tests ● Easy-to-follow math tricks for solving complex problems 00:00 Introduction to Solution of System of Linear Equations 25:00 Elementary Row/Column Operations 34:03 Row Echelon & Reduced Row Echelon form of the Matrix 42:03 Rank of a Matrix 56:35 System of Linear Equations 01:03:28 Rouche Capelli Theorem 01:20:59 Adjoint Method - Solution of system of Linear equations 01:25:10 Cramer's Rule - Solution of system of Linear equations 01:27:12 Gaussian & Gauss-Jordan Elimination - Solution of system of Linear equations 01:52:46 Inverse Method - Solution of system of Linear equations 02:02:45 Solution of system of Homogeneous Linear equations #saadlatif #ECATMath #mathconcepts #NED #NUST #FAST #ECATmathlectures #ecatfullcourse #ecatmathtricks #nustecatpreparation #fastecatpreparation #nedecatpreparation #bestecatmathcourse #ecatonlineclasses #GIKI #PIEAS #UET #engineeringuniversitypreparationmath #pastpapers #aptitudemath #nustpastpapers #nedpastpapers #federalboardmaths #Lecture22 #solutionofsystemoflinearequation #gaussianelimination #gaussjordanmethod #rankofamatrix #echelonform #reducedechelonform #rouchecapellitheorem #elementaryrowoperations #homogeneousequations #cramersrule #systemoflinearequations