Course module
Linear Algebra — GATE 2027 Data Science and Artificial Intelligence (DA) Complete Course
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- Lessons
- 37
- Duration
- —
- PYQs
- 16
- Practice
- 206
3% of this course's PYQ weight is covered in this module.
Syllabus index
Lessons in this module
Linear Algebra
Matrix and Vectors - Definition and Types
- [Notes] Introduction to Matrix & VectorsPdf
- [Notes] Dot Product of VectorsPdf
- [Notes] Types of MatricesPdf
- [Notes] Special Matrices-Orthogonal MatrixPdf
- [Notes] Special Matrices-Idempotent MatrixPdf
- [Notes] Special Matrices-Involutary MatrixPdf
- [Notes] Special Matrices-Nilpotent MatrixPdf
- [Notes] Equality of MatricesPdf
Matrix Addition and Multiplication
Transpose of a Matrix
Elementary Row and Column Operations
Determinant of a Matrix
Adjoint and Inverse of a Matrix
Rank of a Matrix
System of Linear Equations
- [Notes] System of Linear EquationsPdf
- [Notes] Solution SetPdf
- [Notes] Under-determined & Over-determined SystemPdf
- [Notes] Independence of System of Linear EquationsPdf
- [Notes] Consistent System of EquationsPdf
- [Notes] Elimination of Variables (Solving System of Linear Equation)Pdf
- [Notes] Echelon Form - Gauss Elimination Method (Solving Equations)Pdf
- [Notes] Diagonal Matrix - Gauss Elimination Method-Solving EquationsPdf
- [Notes] Shortcut Tricks for Solving System of Linear EquationsPdf
- [Notes] Cramer's Rule (Solving System of Linear Equation)Pdf
- [Notes] Matrix Solution (Solving System of Linear Equations)Pdf
- [Notes] Homogeneous System of Linear EquationsPdf
Trace of a Matrix
Eigen Values and Eigen Vectors
Previous-year questions
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- Probability and Statistics
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- General Aptitude
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- Calculus and Optimization
- Machine Learning