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Unit 19: Cyclic Subspaces and Annihilators 206
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Unit 20: Cyclic Decomposition and the Rational Form 211
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Unit 21: The Jordan Form 222
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Unit 22: Computation of Invariant Factors 230
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Unit 23: Semi-simple Operators 241
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Unit 24: Inner Product and Inner Product Spaces 248
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Unit 25: Linear Functional and Adjoints of Inner Product Space 267
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Unit 26: Unitary Operators and Normal Operators 276
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Unit 27: Introduction and Forms on Inner Product Spaces 290
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Unit 28: Positive Forms and More on Forms 296
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Unit 29: Spectral Theory and Properties of Normal Operators 305
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Unit 30: Bilinear Forms and Symmetric Bilinear Forms 325
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Unit 31: Skew-symmetric Bilinear Forms 337
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Unit 32: Groups Preserving Bilinear Forms 341
Sachin Kaushal, Lovely Professional University