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Math 2331 { Linear Algebra
www.math.uh.eduJiwen He, University of Houston Math 2331, Linear Algebra 3 / 18. 5.3 Diagonalization DiagonalizationTheoremExamples Diagonalization (cont.) Solution: D2 = 5 0 0 4 5 0 0 4 = 0 0 D3 = D2D = 52 0 0 42 5 0 0 4 = 0 0 and in general, Dk = 5k 0 0 4k
Math 2331 { Linear Algebra
www.math.uh.eduJiwen He, University of Houston Math 2331, Linear Algebra 8 / 14. 4.5 The Dimension of a Vector Space DimensionBasis Theorem Dimensions of Subspaces: Theorem Theorem (11) Let H be a subspace of a nite-dimensional vector space V. Any linearly independent set in H can be expanded, if necessary, to a