Lesson 1 Vectors and fields in Linear Algebra (Introduction to vector space)
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- เผยแพร่เมื่อ 18 ก.ย. 2024
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Lesson 1 Vectors and fields in Linear Algebra (Introduction to vector space) :
• Lesson 1 Vectors and f...
Lesson 2 Vector Space, properties of addition, properties of scalar multiplication
• Lesson 2 Vector Space,...
Lesson 3: General properties of vector space i) α.0 = 0 ∀ α∈F ii)0.x = 0 ∀ x∈V
• Lesson 3: General prop...
Lesson 4: General properties of vector space [ α(-x) = - (αx ) = (-α)x ∀ α∈ F and x ∈ V ]
• Lesson 4: General prop...
Lesson 5: General properties of vector space i) α(x-y) = αx-αy ∀ α∈ F and x,y∈ V
• Lesson 5: General prop...
Lesson 6 : Every field is a vector space over itself ( vector space therorem)
• Lesson 6 : Every field...
Lesson 7: Prove that the set of real numbers is a vector space over itself.
• Lesson 7: Prove that t...
Lesson 8: prove that the set of all complex numbers is a vector space over itself
• Lesson 8: prove that t...
Lesson 9: Prove that the set of complex numbers is a vector space over the field of real numbers
• Lesson 9: Prove that t...
Lesson 10: Let R be a field of real numbers and let V = {( x,y):x,y ∈R }.
• Lesson 10: Let R be a ...
Lesson 11: Prove that set of m*n matrices is a vector space over F under addition and multiplication of matrix.
• Prove that set of m*n ...
Lesson 12 Vector Subspace | Linear Algebra
• Lesson-12 Vector Subsp...
Lesson 13: A non-empty subset W of vector space is subspace of V iff αx+βy ∈ W for all α,β∈F and x,y∈W
• A non-empty subset W o...
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Where will I get the pdf of notes
I”ll put it in the description in a while
I want the pdf please
Plz check the description