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A First Course in Linear Algebra [GFDL by Beezer

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00 EXAMPLES Section SD SMS5 Similar matrices of size 5 . . . . . SMS3 Similar matrices of size 3 . . . . . EENS Equal eigenvalues, not similar . . . . DAB Diagonalization of Archetype B . . . DMS3 Diagonalizing a matrix of size 3 . . . NDMS4 A non-diagonalizable matrix of size 4 . DEHD Distinct eigenvalues, hence diagonalizable HPDM High power of a diagonalizable matrix .

PCVS Properties for the Crazy Vector Space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 297 297 298 298 299 299 300 304 A subspace of C3 . . . . . . . . . . A subspace of P4 . . . . . . . . . . A non-subspace in C2 , zero vector . . .

00 EXAMPLES NSDAT Not surjective by dimension, Archetype T . . . . . . . . . . . xli 527 Section IVLT AIVLT An invertible linear transformation . . . . . ANILT A non-invertible linear transformation . . . . CIVLT Computing the Inverse of a Linear Transformations . IVSAV Isomorphic vector spaces, Archetype V . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 534 535 539 542 Section VR VRC4 Vector representation in C4 .

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