Linear Algebra
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A C T I V I T I E S

TOPICS CHAPTERS
1 Matrices, Matrix Algebra, Special Types of Matrices
2 Elementary Row Operations, Row Equivalent Matrices, Elementary Matrices
3 Row Echelon Form, Invertibility and Inverse of Matrices
4 Systems of Linear Equations
5 The Determinant of a Matrix, Properties of Determinants, Cramer’s Rule
6 Vector Spaces, Subspaces, Sum and direct sum of subspaces, Linear Span
7 Linear Dependence-Independence, Basis and Dimension
8 Coordinates, Change of Basis
9 Row Space, Column Space, Null Spaces and Ranges
10 Linear Transformations
11 Kernel, Range, Isomorphism
12 The Spaces of Linear Transformations, The Dual Space
13 The Matrix Representation of a Linear Transformation
14 Similarity