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• Matrices
• Algebra of matrices
• Inverses of matrices
• Elementary row operations in matrices
• Linear Transformation of matrices
• Rank of linear transformation
• Theorems related to rank of the transformation
• Introduction to echelon and reduced row echelon forms
• Mid term exam
• System of linear equations
• Gaussian elimination method
• Gauss Gordan method
• Determinants of square matrices
• Determinant and transpose of matrices
• Algorithm to evaluate determinants and inverses of matrices
• Theorems related to determinants and inverses of matrices
• Net work flow problems and their solutions
• Final term exam