Algebra

This chapter discusses the elementary theory of matrices. Different types of matrices are described here. Matrix algebra, scalar multiplication, transpose of a matrix, and symmetric matrix and skew-symmetric matrix are also explored here.

This chapter describes determinants. We will learn about the minor and cofactor of an element. Properties of determinants are discussed here in detail. We will also study some applications of determinants.

This chapter focuses on the adjoint and inverse of a matrix. We will learn about some important definitions of the inverse of a matrix, orthogonal matrix, etc. It also describes some important theorems and elementary operations of matrices.