Understand The Math on Instagram: "🔢 Diagonalizing a Matrix Step by Step! 🔢 Ever wondered how to express a matrix in the form A = PDP⁻¹? This reel introduces the key steps of diagonalization—a crucial concept in linear algebra! 📌 In this video, you'll learn: ✅ How to compute eigenvalues ✅ How to find eigenvectors and form P ✅ How to construct the diagonal matrix D ✅ How to compute P⁻¹ and verify diagonalization Perfect for students preparing for exams or anyone wanting to strengthen their lin

Peter Math on Instagram: "Singular Value Decomposition (SVD) is one of the most powerful and versatile tools in linear algebra. It breaks down any matrix—even a non-square one—into three simpler matrices that reveal its fundamental structure: one that captures its directions (U), one that scales them (Σ), and one that rotates or reflects them (Vᵀ). At its core, SVD helps us understand how a matrix transforms space by identifying the principal components of that transformation. SVD is everywhere—