Linear Algebra notes
MTC-1011 :
Algebra and Calculus I
Unit 1: VECTOR SPACES
1.1 Introduction.
1.2 Definitions and Examples of a Vector Space.
1.3 Subspace.
1.4 Linear Dependence and Independence
1.5 Basis and Dimension
1.6 Vector Space as a Direct Sum of Subspaces
1.7 Null Space and Range Space
Unit 2: INNER PRODUCT SPACES
2.1 Introduction.
2.2 Definitions, Properties and Examples.
2.3 Length (Norm), Distance in Inner product space.
2.4 Angle and Orthogonality in Inner product space
2.5 Orthonormal basis and Orthonormal projection
2.6 Gram-Schmidt Process of Orthogonalization
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