Math 244 Linear Algebra

Matrices : Matrix Operations ,Elementary Row Operations ,Inverse of Matrix  Special Matrices
Determinants the Adjoint Matrix .
Systems of Linear Equations : Gauss and Gauss–Jordan Methods ,Cramer’s Rule.
Vector Spaces : Subspaces , Linear Combination and Spanning Sets , Linear Independence
Basis , Coordinates and Change of Basis , Rank of the Matrix.
Inner Product Spaces , Orthogonality , Orthonormal Basis.
Linear Transformations ,  Kernel and Image of Linear Transformation , Matrix of Linear Transformation.
Eigenvalues , Eigenvectors , Eigespaces , Diagonalization.