Math Problem Statement

Given data points (2, 3, −1),(−1, 0, −1),(2, 4, 1),(−1, −3, 1),(−2, −4, 0), perform PCA step by-step to reduce data dimension into k = 2

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Algebra
Principal Component Analysis (PCA)
Dimensionality Reduction

Formulas

Covariance matrix formula: Cov(X) = (1/n) * Σ(X_i - μ)(X_i - μ)^T
Eigenvalue decomposition: Cov(X) * v = λ * v

Theorems

Spectral theorem
Eigenvalue and eigenvector properties

Suitable Grade Level

Undergraduate level