Linear Algebra 0.0 / 5 MathematicsLinear AlgebraUniversityNone Created by: LibbyCreated on: 27-05-15 11:36 A set with an operation of addition and (real) scalar multiplication. Real Vector Space 1 of 13 A subset of V, but also a vector in its own right. Subspace 2 of 13 The set of all possible linear combinations. Span 3 of 13 It's linearly independent and spans V. Basis 4 of 13 The maximum number of linearly independent vectors in V. Dimension 5 of 13 It respects addition and scalar multiplication. Linear Mapping 6 of 13 The elements from the original set which are mapped to zero. Kernel 7 of 13 Dimension of kernel plus dimension of range equals the dimension of U. Rank Nullity Theorem 8 of 13 Any polynomial of degree n has n roots. Fundamental Theorem of Algebra 9 of 13 Multiplicity as root of characteristic equation. Algebraic 10 of 13 Number of linearly independent eigenvectors to value. Geometric 11 of 13 Hermitian, positive and definite. Inner Product 12 of 13 Homogeneity, positive definiteness, triangle inequality. Norm 13 of 13

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