AIML Full Course Day 10 | Artificial Intelligence & Machine Learning Course

Описание: 🎥 AIML Course Day 10 | Matrix Representation in Linear Algebra | AI in Nepali

Welcome to Day 10 of the Artificial Intelligence and Machine Learning (AIML) course in Nepali, presented by Code Karma Nepal. In this session, we explore one of the core topics in linear algebra: Matrix Representation, and how it forms the foundation for machine learning and AI.

This video covers detailed theoretical and practical aspects of Linear Algebra, using simple examples and Python (NumPy) implementations to make everything beginner-friendly.

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📘 Topics Covered in This Video:

1. Introduction to Linear Algebra
• Importance of linear algebra in AI & ML
• Definitions of vectors, matrices, scalars
• What is a linear transformation?


2. Matrix Representation in Linear Algebra
• Understanding rows, columns, shapes
• Row and column vectors
• Transpose, inverse, and determinant
• Visualizing matrices in Python (NumPy)


3. Systems of Linear Equations
• What are linear equations?
• General form: AX = B
• Types of systems: Consistent, Inconsistent, Independent, Dependent


4. Matrix Operations in Python (NumPy)
• Vector and matrix creation
• Addition, multiplication, transpose
• Inverse of a matrix
• Dot product and @ operator


5. Solving Systems of Linear Equations in Python
• Direct solution method (using np.linalg.solve)
• Least squares method (np.linalg.lstsq)
• Step-by-step example solving a 3×3 system


6. LU and QR Decomposition
• LU Decomposition: P, L, U matrices
• QR Decomposition: Orthogonal and Upper Triangular matrices
• Implementation in Python using NumPy and SciPy


7. Applications of Matrices in Machine Learning
• Data representation using matrices
• Dimensionality reduction (PCA, SVD)
• Linear regression and backpropagation
• Optimization using gradient-based methods

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💻 Programming Language Used: Python
📦 Library: NumPy, SciPy

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📥 PDF Notes for this Video: https://drive.google.com/file/d/17dQQ...

📌 Who is this course for?
This video is perfect for beginners in AI, machine learning, data science, and students preparing for entrance exams, especially in Nepal. The course is taught in Nepali language for better understanding.

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