Matrices

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August 31, 2024 5 min read Definitions

Eigenvalues and Eigenvectors: Mathematical Foundations and Applications

Mathematics Science and Technology Linear Algebra PCA Differential Equations Matrices Data Science

An in-depth exploration of eigenvalues and eigenvectors, their importance in various mathematical and applied contexts including PCA for dimensionality reduction and solving systems of differential equations.

August 31, 2024 4 min read Definitions

Transpose: An Operation That Flips a Matrix Over Its Diagonal

Mathematics Linear Algebra Transpose Matrix Linear Algebra Mathematics Matrices

The transpose is an essential operation in linear algebra that flips a matrix over its diagonal, effectively swapping its rows with its columns.