definition 5.17 Components of a vector

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definition 5.17: Components of a vector5.17definition 5.15: Basis5.15definition 5.12: Subspace generated by a set of vectors5.12definition 5.14: Linear independence5.14corollary 9.25: Normal modes of a diagonalizable system9.25definition 7.97: Partial derivative; gradient7.97definition 5.16: Dimension5.16definition 5.60: Functional specified on a basis5.60definition 5.26: Orthogonal basis5.26example 5.9: The matrices of a given shape5.9lemma 5.38: Exchange and completion5.38lemma 5.137: The alternating top form is unique up to scale5.137proposition 5.102: Dimensions add5.102proposition 5.105: Grassmann's formula5.105proposition 5.45: prop:lin-matrix-unique5.45proposition 5.54: prop:lin-same-dim-isomorphic5.54theorem 5.40: Rank–nullity5.40

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