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msc:notes:vector_spaces_handwritten_notes [2021/03/08 17:18] – [Vector Spaces (Handwritten notes)] Administrator | msc:notes:vector_spaces_handwritten_notes [2023/04/01 15:19] (current) – removed Administrator | ||
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- | ====== Vector Spaces (Handwritten notes) ====== | ||
- | These are lecture notes of Prof. Dr. Muhammad Khalid of University of Sargodha, Sargodha written by Atiq ur Rehman. Please be careful while reading these notes as there might be some error while noting. | ||
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- | ^ Name |Vector Spaces (Handwritten notes)- Lecture Notes | | ||
- | ^ Author(s) | ||
- | ^ Pages |58 pages | | ||
- | ^ Format | ||
- | ^ Size |PDF: 1.22MB | | ||
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- | ==== CONTENTS OR SUMMARY: | ||
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- | * Rings; definition and examples | ||
- | * Field, definition and examples | ||
- | * Vector spaces, definition and examples | ||
- | * Subspaces, definition and related theorems | ||
- | * Linear sum, definition and related theorems | ||
- | * Homomorphism, | ||
- | * Linear span, related theorem | ||
- | * Finite dimensional vector space, linear dependent and independent, | ||
- | * Basis of a vector space and related theorems | ||
- | * Quotient space and related theorems | ||
- | * Internal direct sum, external direct sum, vector space homomorphism and related theorems | ||
- | * Hom(V,W) and related theorems | ||
- | * Dual spaces and related theorems | ||
- | * Null space, nullity and related theorems | ||
- | * Eigen value, eigen vector, examples and related theorems | ||
- | * Characteristic polynomial/ | ||
- | * Calay Hamilton theorem | ||
- | * Minimum polynomial (or minimal polynomial) and related theorems | ||
- | * Similar matrices and related theorems | ||
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- | ==== Download or View online ==== | ||
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- | ====Notes of other subjects==== | ||
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