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Linear Algebra (1Hr)
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I will recap the following books:
Linear Algebra and Its Applications, 3rd ed., by Gilbert Strang, Saunders (1988).

    Outline:  Solution of Linear equation and LU factorization, Inverse of a matrix
    and matrix inverse lemma, Vector Spaces,
    Basis, dimensions and rank, Orthoganality, Fundamental
    subspaces of a martix, Gram-Schmidt Orthogonalization,
    QR factorization, Eigenvalues and eigenvectors, Singular value
    decomposition and spectral theorem, Positive definite matrices. 

I will assume that you know the basic matrix operations (e.g.
addition, multiplication, inverse, determinant). Also I will not cover
determinants.