A must-do section in Engineering Maths section for GATE. Be sure to get 5-6 marks of questions from this topic in the exam.

Types of Matrices Transpose, Determinant finding and Trace of a Matrix Inverse of a Matrix Inverse of a Matrix with Row/Column Operations Rank of a Matrix Echelon Form Normal Form of a Matrix System of Linear Equations Nature of Solution of Linear Equations Gaussian Elimination DoLittle decomposition Eigen Values and eigen vecors

Course

The section covers the following topics:

1) Introduction to Matrices and Types of Matrices.

2) Rank of a Matrix.

3) Solution of a system of equations with the help of rank of a matrix.

4) Inverse of a matrix.

5) Eigen Vectors and Eigen Values.

**Key Skills required**:

- Basic undrstanding of Matrices
- E-Row transformations to calculate rank of a matrix
- Basic algebraic calculations