Скачать или смотреть Transpose & Product of Triangular Matrices | Prof Ali Raza Razzaq | Inter Part 1 Math New Syllabus

📘 Intermediate Part 1 Mathematics (New Syllabus) – Matrix Chapter
In this video, Prof. Ali Raza Razzaq explains the concept of transpose, upper triangular matrix, lower triangular matrix, and their product using Python in a very simple and easy-to-understand way.

🎯 This lecture is based on the new syllabus for Class 11 / FA / FSc Part 1 Mathematics, making it ideal for college students looking to strengthen their basics.

📌 What We Cover:

✅ What is a Transpose of a Matrix?

✅ How to extract Upper and Lower Triangular Matrices

✅ Multiplying Upper and Lower Triangular Matrices

✅ Simple Python code using NumPy

✅ Real-life uses in linear algebra & data science


🧑‍🏫 Easy Explanation by: Prof. Ali Raza Razzaq
(Mathematics Lecturer – Intermediate / College Level)

📖 This video helps students of:

Punjab Textbook Board

Federal Board (FBISE)

Sindh, Balochistan & AJK Boards

ICS, FSc, and FA Math students



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🧪 Python Libraries Used:

NumPy



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🕒 Timestamps: 00:00 – Introduction by Prof Ali Raza Razzaq
00:45 – Matrix Transpose (New Syllabus)
02:00 – Upper & Lower Triangular Matrices Explained
03:30 – Python Code (Line by Line Explanation)
06:00 – Matrix Multiplication of Triangular Matrices
08:30 – Output and Examples
10:00 – Wrap-up and Key Takeaways


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🔵 Hashtags (Viral & Student-Focused):

#ProfAliRazaRazzaq #InterPart1Math #NewSyllabusMath #PythonMatrix #MatricToMasters #TransposeMatrix #UpperTriangular #LowerTriangular #MatrixMultiplication #LearnMath #FScMath #ICS #MathematicsLecture #NumPy


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