Linear Algebra: Vector Space
33 videos • 278 views • by Fatemeh Yarahmadi
1
Linear Algebra: Basis for a Vector Space Definition and Examples. Dimension of Subspace
Fatemeh Yarahmadi
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2
Linear Algebra Linear Combination, Dependence, and Independence, Span
Fatemeh Yarahmadi
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3
Linear Algebra: Vector Space of All Polynomials, The Vector Space of Continuous Functions
Fatemeh Yarahmadi
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4
Linear Algebra- Subspace of a Vector Space. Intersection V ∩W and Addition V+W of Subspaces
Fatemeh Yarahmadi
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5
Linear Algebra- Linearly Dependent, Independent, and System of Equations
Fatemeh Yarahmadi
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6
Linear Algebra: Basis and Dimension For The Vector Space of 2by2 and 3by3 Symmetric Matrices
Fatemeh Yarahmadi
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7
Linear Algebra- Definitions of Row Space of a Matrix. Basis for the Row Space 1x3, 2x2, 3x3 Matrices
Fatemeh Yarahmadi
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8
Linear Algebra- Find The Basis For Column Space and Find the Nullspace of a Matrix
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9
Linear Algebra- Definition of Nullity and Null Space n=rank+nullity
Fatemeh Yarahmadi
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10
Linear Algebra- Rank of a Matrix and Null Space and Nullity
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11
Linear Algebra- Find a Basis for a Subspace of R3
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12
Linear Algebra- Introduction to Dot Product and Distance Function in n-Space
Fatemeh Yarahmadi
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13
Linear Algebra- Coordinate Matrix Relative to Standard and Nonstandard Basis and Transition Matrix
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14
Linear Algebra- Some Notes on Column and Row Space and Null Space
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15
Linear Algebra- Definition of Row and Colum Space and How to Find Basis For Them
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16
Linear Algebra-Cauchy-Schwarz Inequality Proof by Direct Definition, Universal Statement,Implication
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17
Linear Algebra- Triangle Inequality, Pythagorean Theorem, Orthogonal Vectors, Inner Product Space
Fatemeh Yarahmadi
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18
Coordinates Relative to Orthonormal Basis/ Gram-Schmidt Orthonormalization in Polynomial Inner Space
Fatemeh Yarahmadi
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19
Definition of Orthogonal and Orthonormal Sets and Basis
Fatemeh Yarahmadi
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20
Orthogonal Projection for C[a,b] Vector Space of Continuous Functions Definite Integrals
Fatemeh Yarahmadi
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21
Verify Inner Product of f and g is Less Than The norm of Each Function
Fatemeh Yarahmadi
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22
Inner Product Function for Polynomials and C[a,b] Continuous Functions on Closed Interval [a,b]
Fatemeh Yarahmadi
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23
Function, Image, InverseImage (PreImage), and Linear Transformation Domain, Co-Domain, and Basics
Fatemeh Yarahmadi
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24
Is This Function a Linear Transformation? (Preserve Addition and Scalar Multiplication)
Fatemeh Yarahmadi
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25
Linear Transformation and Their Matrix Representation
Fatemeh Yarahmadi
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26
Linear Transformation Including Rotation Counterclockwise, Identity Transformation and More
Fatemeh Yarahmadi
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27
Linear Transformation Including Transpose of Matrix, Differentiation, and Definite Integral
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28
Kernel of a Linear Transformation with Zero Transformation, Identity Transformation, and Matrices
Fatemeh Yarahmadi
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29
Introduction to Eigenvalue and Eigenvector
Fatemeh Yarahmadi
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30
Isomorphism, Composition of Linear Transformation, Invertible
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31
One to one and Onto Linear Transformation Examples
Fatemeh Yarahmadi
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32
Linear Transformation is One to One iff Ker(T)={0}
Fatemeh Yarahmadi
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33
Rank and Nullity of a Linear Transformation n=rank+nullity
Fatemeh Yarahmadi
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