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N O T E S

J E N N Y M A

M A T H 2 1 5

Linear Algebra I for Engineers


Instructor: Mohamad Alwan



Solving Linear Systems



Matrix Notation



Vector Spaces



Dot Products



Spans & Subspace



Linear Dependence



Dimensions



Matrices & Linear Algebra



The Identity Matrix



The Transpose Matrix



Determinants



Rank



Inverse Matrix



Adjoint of Matrices



Cramer's Rule



LU Factorization



Eigenvalues



Stability of Singular Points



Symmetric Matrics



Similar Matrices



Diagonalization



Vandermond Determinant



Jordan Normal Form



Exam Review