Matrices

Some different types of matrices are discussed in this topic, specifying their definitions and properties with examples. Such types are column matrix, row matrix and square matrix.

Some operations related to matrices are discussed in this topic. These are addition of matrices, multiplication of a matrix by a scalar and a vector.

We will learn Symmetric and Skew Symmetric Matrices here. If the transpose of a square matrix is equal to the original matrix then the matrix is said to be symmetric. If the transpose of a square matrix is equal to the opposite of the original matrix then it is called skew symmetric.

This topic covers Adjoint and Inverse of a Matrix. The transpose of the cofactor of a matrix is called Adjoint of the original matrix. If a matrix A is multiplied with another matrix B and their multiplication is identity matrix, then B is called the inverse of matrix A.

The topic will talk about the properties of matrices and inverse. We will also learn various types of the matrices. We will discuss the proofs of commutative, associative and many more with respect to addition.

This topic deals with the elementary operation of a matrix along with its definition. We will understand the various types of elementary row or column operations. It discusses the important points for its notation.

The topic will discuss the application of matrices to solve linear equations. It discusses various methods for solving the equations. We will learn how to solve it by using the matrix method and multiplication.