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Welcome to Lecture 48 of the course "Programming in Python" by Prof. Sudarshan Iyengar. Full Course: https://study.iitm.ac.in/ds/course_pages/BSCS1002.html Video Overview In this lecture we continue our exploration of matrix multiplication the old fashioned way. We demonstrate how to multiply two 3x3 matrices A and B using nested loops and the concept of dot products. The lecture breaks down the logic of finding each element C(i j) in the resulting matrix C by calculating the dot product of the i th row of A and the j th column of B. Step by step we translate this understanding into Python code. Finally we verify the solution using the Numpy library. Though a bit complex this exercise helps you master a fundamental operation in linear algebra with real applications in fields like machine learning and computer vision. About IIT Madras' online Bachelor of Science programme IIT Madras offers four year BS programmes that aim to provide quality education to all irrespective of age educational background or location. The BS programme has multiple levels which provide flexibility to students to exit at any of these levels. Depending on the courses completed and credits earned the learner can receive a Foundation Certificate from IITM CODE (Centre for Outreach and Digital Education), Diploma(s) from IIT Madras or BSc/BS Degrees from IIT Madras. For more details Visit: https://www.iitm.ac.in/academics/study-at-iitm/non-campus-bs-programmes #matrixmultiplication #python #linearalgebra #numpy #dotproduct #codingtutorial #matrices #programming #3x3matrix #nestedloops #machinelearning #computervision #imageprocessing
