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.
Example:
\begin{bmatrix} 6 & 9 \\ 5 & -4 \\ \end{bmatrix}_{2\times 2} ,\begin{bmatrix} 3 & -4 & 5 \\ 1 & 7 & 6 \\ 6 & -2 & 9 \\\end{bmatrix}_{3 \times3}
Matrices for School Students & Beginners
Covers the basics of matrices, including types, operations, determinants, inverses, and their use in solving equations and real-life applications.
- Introduction to Matrix
- Types of Matrices
- Operations
- Determinant of a Matrix
- Formulas
- Properties of Determinants
- Invertible Matrix
- Inverse of a Matrix
- Solve a System of Equations using Matrices
- Transformation Matrix
- Solve Systems of Equations Using Matrices
- Augmented Matrix
- Real-life applications
Practice Questions on Matrices
Practice questions on matrices, including matrix multiplication, previous year questions, etc.
Advanced Topics on Matrices
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
Matrices for Programmers
Focuses on practical implementation of matrix concepts through coding problems, helping you build problem-solving skills.
- Matrix Operations
- 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
- Check if a matrix is a Toeplitz Matrix
- Print a given matrix in spiral form
- Zigzag (or diagonal) traversal of Matrix
- Spiral Traversal of Matrix
- Search in a Row-wise and Column-wise Sorted Matrix
- Find the number of islands
- Maximum sum rectangular submatrix in a given matrix
- Minimum Initial Points to Reach Destination
- Count the number of paths with at-most k turns
- Matrix Chain Multiplication
