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Determinant and Hyper Volume

 04-01-2024 04-01-2024 blog 21 minutes read (About 3100 words)
The Existence and the Uniqueness of Determinant and Its Relationship with Hyper Volume

 
Mathematics, 
Linear Algebra, 
Geometry, 
Calculus, 
Determinant  
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Matrix Block Diagonalization Theorem

 10-30-2023 10-30-2023 blog 10 minutes read (About 1450 words)
Geometry of $n \times n$ Matrices with Complex Eigenvalues

 
Mathematics, 
Linear Algebra, 
Geometry  
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Matrix Rotation-Scaling Theorem

 10-23-2023 10-23-2023 blog 10 minutes read (About 1439 words)
Geometry of $2 \times 2$ Matrices with a Non-Real Complex Eigenvalue

 
Mathematics, 
Linear Algebra, 
Geometry  
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Matrix Diagonalization Theorem

 09-01-2023 10-10-2023 blog 14 minutes read (About 2068 words)
A Matrix Similar to a Diagonal Matrix

 
Mathematics, 
Linear Algebra, 
Geometry  
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Matrix Similarity

 08-20-2023 10-10-2023 blog 13 minutes read (About 1881 words)
Understand Why Matrices are Similar

 
Mathematics, 
Linear Algebra, 
Geometry  
  Read More

Rotation and Translation of Axes

 08-14-2023 08-14-2023 blog 10 minutes read (About 1472 words)
Coordinate System Transformation

 
Mathematics, 
Geometry  
  Read More

Unit Quaternion 3D Rotation Representation

 04-24-2022 04-24-2022 blog 13 minutes read (About 1979 words)
Derivation of Unit Quaternion 3D Rotation Representation

 
Mathematics, 
Geometry, 
Computer Graphics  
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Axis/Angle 3D Rotation Representation

 02-28-2022 02-28-2022 blog 16 minutes read (About 2358 words)
Derivation of Axis/Angle 3D Rotation Representation

 
Mathematics, 
Geometry, 
Computer Graphics  
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2D Plane Transformation

 12-06-2021 03-01-2023 blog 15 minutes read (About 2311 words)
Common 2D Plane Transformation Mathematics and Properties

 
Mathematics, 
Geometry  
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Geometry for Computing Dihedral Angles

 03-15-2021 10-19-2021 blog 12 minutes read (About 1801 words)
Computing Dihedral Angles Using Cartesian Coordinates

 
Mathematics, 
Geometry, 
Dihedral Angle  
  Read More
Lei Mao

Lei Mao

Artificial Intelligence Machine Learning Computer Science

Menlo Park, California

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