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Linear Algebra 60 pages

Authentication Challenge
Find a basis computation problem
Basis of a Vector Space
Linear binary code
Closest point in higher dimension than a plane
Closest Point on a Line
Closest point in a plane
Notion - (Best approximation|Closest|Closeness)
Column Vector (One-column matrix)
Coordinate system
Linear Dependency
Dimension of a vector space
(Direct Sum | Union) of vector spaces
Distance between two vectors
(Dot|Scalar|Inner) Product of two vectors
Dual of a vector space
Linear System - Echelon Matrix
Find intersection of geometric objects
Function composition
Function (Set)
(Gaussian|Common) Elimination
Generators of a Vector Space
Graph
Convex Hull
Image representation
Inner product of two vectors
is orthogonal to
(Line|Line Segment)
Linear combination
Linear Equation
Linear Function (Weighted sum)
Linear (Programming|Optimization)
(Linear system|System of Linear equations)
Matrix Equation
(Matrix|QR) Factorization
Matrix Matrix (Multiplication)
Matrix Vector (Multiplication)
Matrix
Norm (Length)
Normalization
Null Space of a (Matrix|Vector Space)
Orthogonal complement Vector Space
Orthogonality (Perpendicular)
Orthogonalization - Building an orthogonal set of generators
Plane
Point
Projection
Pythagorean Theorem
Rank
Row-Addition Matrix
Row Space of a matrix
Row vector (One-row matrix)
Rows of a Matrix
Scalar (Multiplication|Product) - Scaling
Scalar
Span of a Vector Space
Triangular Matrix
Vector Space (set of vector)
Vector Vector Operations
Vector

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Linear Algebra
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Convex Hull

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Convex Hull

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The minimum bounding box of a point set is the same as the minimum bounding box of its convex hull, a fact which may be used heuristically to speed up computation. The minimum bounding box of a point...

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A linear combination of the vectors is the following expression: where: The scalars are the coefficients Every vector in is a linear combination: Every linear combination is a vector in...

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