Eigenvalues & Eigenvectors: The Math of Prediction Mastering the Matrix
“From Class 11–12 math minds to aspiring data scientists, unlock how computers think with eigenvalues and eigenvectors.”
Taught byM Sanjeeva ReddyM.Sc. MathematicsWhat you'll learn
Eigen‑logic reveals the “Un‑Wiggle Line,” the axis where noise disappears and true patterns emerge. By following eigenvalues and eigenvectors, chaos becomes readable — risks in markets, signals in climate — turning algebra into a compass for structured insight.
Course content
2 modules10 lessons2h 40m
CALCULATE & INTERPRET5 lessons · 1h 26m
- Decoding the Master Equation
- 01Course 2 Eigenvalues V1
- The Zero Determinant Hack
- 02Course 2 Eigenvalues V2
- The 2x2 Solver: Finding Lambda
- 03Course 2 Eigenvalues V3
- Hunting the Vector: Back-Substitution
- 04Course 2 Eigenvalues V4
- When Math Gets Weird: Complex Roots
- 05Course 2 Eigenvalues V5
MONEY & CLIMATE MATH5 lessons · 1h 14m
- The Covariance Matrix
- 06Course 2 Eigenvalues V6
- Financial Algebra: Eigen-Portfolios
- 07Course 2 Eigenvalues V7
- Climate Decoding: PCA
- 08Course 2 Eigenvalues V8
- Lab: Stock Market Analysis (Excel)
- 09Course 2 Eigenvalues V9
- Lab: Climate Data Visualization (Excel)
- 10Course 2 Eigenvalues V10
About this course
Course Outcomes:
- Construct Covariance Matrices from raw data sets to map the relationships between variables.
- Perform Principal Component Analysis (PCA) using Microsoft Excel/Google Sheets to extract the dominant trends from Stock Market and Climate data.
- Explain that "Risk" in finance and "Signal" in climate science are mathematically identical to "Variance" (Eigenvalues).
- Define the difference between Real Eigenvalues (Scaling) and Imaginary Eigenvalues (Rotation).
- Feel prepared and confident to tackle advanced linear algebra problems in university entrance exams (JEE/SAT) or engineering courses.
Your teacher
M Sanjeeva Reddy
M.Sc. MathematicsFuture-ready mathematics innovator, blending AI, machine learning, and timeless principles to make math accessible and empowering.
