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Accueil
Linear Algebra 201-105-RE
Differential Calculus 201-103-RE
Accueil
Linear Algebra 201-105-RE
Differential Calculus 201-103-RE
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Accueil
Linear Algebra 201-105-RE
Differential Calculus 201-103-RE
Linear Algebra and Vector GeometryÂ
201-SN4-RE
COURSE PLAN
VECTORS AND MATRICES
Spider's Web
Linear Systems
Elementary Row Operations
RREF and Solution Set
Gauss-Jordan Algorithm
Homogeneous Linear Systems
Polynomials and LS
Matrices
Basic Matrix Operations
Properties of BMA
Inverse Matrix
Properties of Inverse
Inverse 2 x 2
Elementary matrices
LS and Matrices
Special Matrices
Markov Chains
Regularity of
P
Determinant with Cofactors
Determinant 3 x 3
Adjoint Matrix
Adjoint Formula
Row (Column) Reduction
Determinant by Inspection
Properties of Determinants
THEOREM
Cramer's Rule
Determinant of
P
Geometric Vectors
Coordinate Vectors
Norm of a Vector
Dot Product
Projection
Cross Product
Cross Product and Area
Geometric Int. of Det.
Planes in
R^3
Lines in
R^3
Planes and Lines
Intersection P-P
Intersection P-L
Intersection L-L
Distances
R^n
Vector Spaces
Main Vector Spaces
Logarithmic Vector Space
Subspaces
Span (I)
Span (II)
Linear Independence (I)
Linear Independence (II)
Basis and Dimension
Dimension Theorem
Fractal Dimension
Expression of Vectors
Basis for Subspace
Subspace 000
Row, Column, Null Spaces
Effect of ERO on LC of C
Orthogonal Complement
Linear Transformations
Linear Operators (List)
Linear Operators (Graphs)
Projection and Reflection
Rotation
Eigenvalues and Eigenvectors
Results on Eigenvalues (I)
Results on Eigenvalues (II)
Eigenvalues of Sym. Matrix
Diagonalization
Eigenvalues and Markov (I)
Eigenvalues and Markov (II)
Orthonormal Basis
Gram-Schmidt Process
Projection in
R^n
Invertibility of
B^TB
Projection in
R^n
(Ex.)
Properties of
A
Linear Regression
Exercise Sheet 1
Exercise Sheet 2
Exercise Sheet 3
Exercise Sheet 4
Exercise Sheet 5
Exercise Sheet 6
Exercise Sheet 7
Exercise Sheet 8
Exercise Sheet 9
Exercise Sheet 10
ES 10: Answers
Exercise Sheet 11
Exercise Sheet 12
Exercise Sheet 13
Exercise Sheet 14
Exercise Sheet 15
Exercise Sheet 16
Exercise Sheet 17
Exercise Sheet 18
Exercise Sheet 19
Exercise Sheet 20
Exercise Sheet 21
Exercise Sheet 22
Exercise Sheet 23
Exercise Sheet 24
Exercise Sheet 25
Exercise Sheet 26
Exercise Sheet 27
Exercise Sheet 28
Exercise Sheet 29
Exercise Sheet 30
Exercise Sheet 31
Exercise Sheet 32
Exercise Sheet 33
Exercise Sheet 34
Exercise Sheet 35
Exercise Sheet 36
Test 1 : Solutions
Test 4 : Solutions
Test 2 : Solutions
Test 5 : Solutions
Test 3 : Solutions
Test 6 : Solutions
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