# Linear Algebra - Projection

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Projections: summarizing mutli-dimensional data in two or three dimensions.

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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

Projections: summarizing mutli-dimensional data in two or three dimensions.

**Data (State)**

Data (State)

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Data Structure

Data Type

Data Warehouse

Data Visualization

Data Partition

Data Persistence

Data Concurrency

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Statistics

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Mathematics

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