Math 240: Introduction to Linear Algebra _ 4 hours

Matrices and their operations, types of matrices. Elementary row operations. Determinants, elementary properties. Inverse of a matrix. Vector spaces, linear independence, finite dimensional spaces, subspaces, rank of a matrix. Inner product spaces, Gramm-Schmidt process. Linear transformations, kernel and image of a linear transformation, matrix of a linear transformation. Eigenvalues and eigenvectors of a matrix, diagonlization and relative subjects.

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