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Matrices: Some Types of Matrices.Determinant of a Square Matrix.Evaluation of Determinants.Equivalence: Adjoint of a Square Matrix.Inverse of a Matrix.Fields.Linear Dependence of Vectors and Forms.Linear Equations.Vector Spaces.Linear Transformations.Vectors over the Real Field.Vectors over the Complex Field.Congruence.Bilinear Forms.Quadratic Forms.Hermitian Forms.Characteristic Equation of a Matrix.Similarity.Similarity to a Diagonal Matrix.Polynomials over a Field.Lambda Matrices.Smith Normal Form.Minimum Polynomial of a Matrix.Canonical Forms Under Similarity.