Matrices

Matrices are key concepts in mathematics, widely used in solving equations and problems in fields like physics and computer science. A matrix is simply a grid of numbers, and a determinant is a value calculated from a square matrix.

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Matrices Basics

Covers the basics of matrices, including types, operations, determinants, inverses, and their use in solving equations and real-life applications.

• Introduction
• Real-life Applications
• Types of Matrices
• Operations
• Determinant of a Matrix
• Properties of Determinants
• Invertible Matrix
• Inverse of a Matrix
• Solve a System of Equations using Matrices
• Transformation Matrix
• Augmented Matrix

Practice Questions

Practice questions on matrices, including matrix multiplication, previous year questions, etc.

• Addition Worksheet
• Questions on Matrix Multiplication
• Practice Questions
• Gate Quiz
• PYQs

Advanced Topics

Explore the advanced matrix concepts, including the rank and trace of a matrix, Cramer's rule, covariance matrix, and eigen decomposition, etc.

• Rank of Matrix
• Trace of Matrix
• Cramer's Rule
• Covariance Matrix
• Eigen Decomposition of a Matrix
• Eigenvalues and Eigenvectors
• Partition Matrix

For Programmers

Focuses on practical implementation of matrix concepts through coding problems, helping you build problem-solving skills.

• Rotate Matrix Clockwise
• Sort the given matrix
• Program to multiply two matrices
• Find the row with the maximum number of 1s
• Boundary elements of a Matrix
• Matrix Chain Multiplication