There are no items in your cart
Add More
Add More
Item Details | Price |
---|
Learn Linear Algebra and Master the Foundation of Machine Learning.
Instructor: Sachin Mittal (Ex - Amazon Applied Scientist, MTech IISc Bangalore)
GO Classes Complete Discrete Mathematics and Engineering Mathematics Courses are FREE for all learners. Sign up and start learning.
Important Links (Click Below):
Discrete Mathematics Complete Course (FREE for ALL)
Engineering Mathematics Complete Course (FREE for ALL)
Enroll here for GO Classes GATE CSE/DA Complete Course
Enroll here for GO+Goclasses TEST SERIES
Download GO Classes Android APP
Join GO Classes public Telegram Group for Doubt Discussions
Features of the course:
One-Stop-Solution for your Complete Best GATE Preparation!!
1. Quality Content: No Rote-learning. No poor understadning. No By-hearting of formulas, tables or theorems. Understand everything with proofs-intuitions-ideas.
2. No Prerequisites: Every concept is taught from basics, without assuming any prior knowledge whatsoever.
3. Daily Homeworks: Practice material, with solutions, for Every Lecture to test your understanding of concepts of that respective lecture.
4. GATE PYQs Video Solution: Detailed Video Solution of All GATE Previous Years' Questions, with Complete Analysis of each question.
5. Summary Lectures: Short videos which summarises everything concept and detail of the course. Helps in quick revision.
6. Quality Practice Sets: Practice Sets from standard resources, with solutions, containing a lot of quality questions for practice.
7. Weekly Quizzes: Every week, there will be a Live Quiz, containing 15-20 questions, to evaluate your understanding of concepts taught in the previous week. The Quiz questions can be seen, solved even after tha live quiz is over.
8. Doubt Resolution: All of your doubts will be resolved directly by the faculty. There is a dedicated Telegram group for Enrolled Students of Goclasses where our faculties resolve students' Doubts. So, our students don't have to go anywhere else for asking doubts.
Module 1: Basics of Linear Algebra | |||
Lecture 1A - Why Study Linear Algebra | |||
Lecture 1B - Linear Algebra for GATE & Interviews | |||
Annotated Notes - Lecture 1A-1B | |||
Lecture 1C - Linearly Independent and Linearly Dependent | |||
Annotated Notes - Lecture 1C | |||
Lecture 2A - Filling the Space Part 1 | |||
Lecture 2B - Filling the Space Part 2 | |||
Lecture 2C - Summary so far | |||
Lecture 2D - Multiplying a Matrix & a Vector | |||
Annotated Notes - Lecture 2 | |||
Homework 1 - Linear Dependence & Independence | |||
Lecture 3A - Homework 1 Discussion | |||
Annotated Notes - Lecture 3A - Homework 1 Discussion | |||
Lecture 3B - Why Solve System Of Linear Equations | |||
Lecture 3C - Writing as Ax=b, Geometric Interpretation and Possible Solutions | |||
Lecture 3D - Understanding Ax=b intuitively | |||
Lecture 3B-D Annotated Notes | |||
4A. Multiplying 2 Matrices | My Walmart Interview Question | |||
4B. GATE 2016 Question | |||
4C. GATE 2014 Question | |||
4D. Two conceptual questions | |||
4E. Linear Combination of Independent vectors is unique | |||
4F. GATE 2017 Question | |||
Lecture 4 Annotated Notes | |||
5A. Echelon Form and Pivot Columns | |||
5B. Gaussian Elimination | |||
5C. Rank | GATE 1994 Question | Rank Nullity Theorem | |||
5D. Finally Solving Ax=b | Five Different Questions | |||
5E. More than one free variable in 𝐴𝑥=0 solution | |||
Lecture 5 Annotated Notes | |||
6A. GATE 2021 Question | Free variables in Non homogeneous | |||
6B. Solutions based on Rank(A) and Rank(A|b) | |||
6C. Few Questions related to rank(A) and Number of solutions | |||
6D. Linearly Independent Columns with Gaussian Elimination | |||
6E. Row Reduced Echelon Form | |||
Lecture 6 Annotated Notes | |||
Lecture 7A. Determinant | |||
Lecture 7B. Inverse of a Matrix | |||
Lecture 7C. Crammer's rule | |||
Annotated Notes Lecture 7 A-C Determinant Inverse and Cramer's Rule | |||
Lecture 8A. Introduction to Eigenvalues and Eigenvectors | |||
Lecture 8B. Characteristic Equation | |||
Lecture 8C. Solving for Eigenvalues and Eigenvectors | |||
Annotated Notes Lecture 8A-C EigenValues and EigenVectors | |||
Lecture 9A. Linearly Independent Eigen vectors with repeating eigenvalues | |||
Lecture 9B. Three Different Examples With Repeating Lambda | |||
Lecture 9C. Symmetric Matrices has n LI Eigen Vectors | |||
Lecture 9D. Two Magical Properties | |||
Annotated Notes Lecture 9A-D Eigen Vectors | |||
Lecture 10A. Rank and Eigen Values | |||
Lecture 10B. Examples on Rank and Eigen Values | |||
Lecture 10C. CAYLEY-HAMILTON THEOREM | |||
Lecture 10D. Eigen Values of AB and BA | |||
Lecture 10E. Eigen Values of Powers of A | |||
Annotated Notes Lecture 10A-E Rank and EigenValues | |||
Lecture 10F. (Three Tough/Interesting GATE PYQs) | |||
Annotated Notes Lecture 10F GATE PYQs Linear Algebra | |||
Lecture 11A. LU Decomposition | |||
Lecture 11B. Type Of Matrices | |||
Annotated Notes Lecture 11A -B | |||
LIVE Practice Questions on Linear Dependent Vectors | |||
Annotated Notes Practice Questions on Linear Dependent Vectors | |||
LIVE Practice Questions on Solutions of Ax = b | |||
Annotated Notes Practice Questions on Ax=b | |||
Weekly Quiz and Solution | |||
Module-2 | |||
Information | |||
Lecture 1: Introduction to Vector Spaces, Subspaces, Basis, and Span | |||
Annotated Notes Lecture 1 Module 2 Definition of Vector Spaces and SubSpaces | |||
Lecture 2: Basis, Span, Subspaces of Matrix A (Column and Null Space) | |||
Annotated Notes Lecture 2 Module 2 Basis Span and Dim of Space | |||
Lecture 3: Subspaces of Matrix A (Column and Null Space) | |||
Annotated Notes Lecture 3 Module 2 Col and Null Space | |||
Lecture 4: Subspaces of Matrix A (Row and Left Null Space) | |||
Annotated Notes Lecture 4 Module 2 Row and Left Null Space | |||
LA for GATE DA Module-2 HomeWork-1 | |||
LA for GATE DA Module-2 HomeWork-2 | |||
Lecture 5: Four Fundamental Subspaces | |||
Annotated Notes Lecture 5 Module 2 Four Fundamental Subspaces | |||
Lecture 6: Change of Basis | |||
Annotated Notes Lecture 6 Module 2 Change of Basis | |||
Lecture 7: Linear Transformation | |||
Annotated Notes Lecture 7 Module 2 Linear Transformation | |||
Lecture 8: More on Linear Transformation | |||
Annotated Notes Lecture 8 Module 2 More on Linear Transformation | |||
Lecture 9: Linear Transformation w.r.t. arbitrary bases | |||
Annotated Notes Lecture 9 Module 2 Linear Transformation in different bases | |||
Lecture 10: Questions on Change of Basis and Linear Transformation | |||
Annotated Notes Lecture 10 Module 2 Questions on Linear Transformation and change of bases | |||
Weekly Quiz | |||
Weekly Quiz-5 Solution Discussion | |||
Lecture 11a: Revision Class (From Lecture 1 to 5) | |||
Lecture 11b: Revision Class (From Lecture 6 to 10) | |||
Annotated Notes Lecture 11 Module 2 Summary So far | |||
Lecture 12: Similar Matrices and Diagonalization | |||
Annotated Notes Lecture 12 Module 2 Diaognalisation | |||
Lecture 13: Diagonalization Questions and Gram Schmidt Orthogonalization | |||
Annotated Notes Lecture 13 Module 2 SVD | |||
Lecture 14: More on Singular Value Decomposition (SVD) | |||
Annotated Notes Lecture 14 Module 2 SVD | |||
Lecture 15: Fundamental Subspaces with Singular Value Decomposition (SVD) | |||
Annotated Notes Lecture 15 Module 2 SVD | |||
Practice Set 30 Questions on SVD | |||
Lecture 16: Geometry of SVD and Practice Set 30 Questions Solution | |||
Annotated Notes Lecture 16 Module 2 SVD | |||
Lecture 17: Practice Set 30 Questions Solution (Q11-Q30) | |||
Annotated Notes Lecture 17 Module 2 SVD More Question | |||
Lecture 18: Orthogonal Projections | |||
Annotated Notes Lecture 18 Module 2 Projection Of a Vector | |||
Lecture 19: Projection onto Subspace | |||
Annotated Notes Lecture 19 Module 2 Lecture 19 Projection onto Subspace | |||
Lecture 20: Projection Matrix | |||
Annotated Notes Lecture 20 Module 2 Projection Matrix | |||
Lecture 21: Weekly Quiz SVD Discussion | |||
Annotated Notes SVD Quiz | |||
Lecture 22: Partition or Block Matrices Multiplication | |||
Annotated Notes Lecture 22 Module 2 Partition Matrix | |||
Lecture 23: Block Matrices Other Operations | |||
Annotated Notes Lecture 23 Module 2 Partition Matrix all Operations | |||
Lecture 24: Positive Definite Matrices | |||
Linear Algebra for GATE DA Module-2 Annotated Notes | |||
LIVE Weekly Quiz 1 Solution | |||
Annotated Notes Weekly Quiz 1 Solution | |||
LIVE Weekly Quiz 2 Solution | |||
Annotated Notes Weekly Quiz 2 Solution | |||
Recording LIVE Weekly Quiz 3 Solution Part 1 | |||
Annotated Notes Weekly Quiz 3 Solution Part 1 | |||
Recording LIVE Weekly Quiz 3 Solution Part 2 | |||
Annotated Notes Weekly Quiz 3 Solution Part-2 |
After successful purchase, this item would be added to your Library.
You can access the library in the following ways :