Mathematics - Matrices

Matrices is a part of Linear Algebra. This course is vital for every mathematics learner  who wish to persue a degree in science or engineering.

The course is with plenty of solved examples.

The course is organized in following various sections with seperate video explanation for each topic.

1. Introduction of m X n matrix with the generalized definition.

2. Various types of Matrices like Rectangular Matrix, Column Matrix , Row Matrix, Square Matrix, Digonal Matrix, Identity Matrix. Scalar Matrix, Null Matrix . All are explained with suitable examples.

2. Equality, Addition, Subtraction and Scalar Multiplication of Matrices.

3. Multiplication of Matrices with neccessory conditions. How Division is not possible in Matrices?

4. Transpose of a Matrix with examples and different notations.

5. Singular and Non-Singular Matrices with examples.

6. Cofactor Matrix and Adjoint of a Matrix.

7. Inverse of a square matrix using Adjoint method.

6. Application of Matrix - Solution of Simultaneous equations using Matrix Inversion Method.

A learner having knowledge of determinant can easily understand the topic Matrices.

For both determinant and matrix the way of writing is slightly similar but definitely they have difference that a determinant can be evaluated whereas matrix cannot be expanded. Another difference is that we include elements of determinant in two vertical bars whereas matrix elements are enclosed between two square or round or curly brackets only.