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Updated in [August 31st, 2023]
Skills and Knowledge:
Through this course, learners will acquire knowledge and skills in the following areas:
1. Introduction to m X n matrices and their generalized definition.
2. Understanding of various types of matrices, such as rectangular, column, row, square, diagonal, identity, scalar, and null matrices.
3. Ability to perform operations such as equality, addition, subtraction, and scalar multiplication on matrices.
4. Understanding of matrix multiplication and its necessary conditions.
5. Knowledge of transpose of a matrix and its various notations.
6. Understanding of singular and non-singular matrices.
7. Knowledge of cofactor matrix and adjoint of a matrix.
8. Ability to calculate inverse of a square matrix using adjoint method.
9. Understanding of the application of matrices in solving simultaneous equations using matrix inversion method.
10. Knowledge of the differences between matrices and determinants.
Professional Growth:
This course contributes to professional growth by providing a comprehensive understanding of matrices and their applications. It covers topics such as the introduction of m X n matrices, various types of matrices, equality, addition, subtraction, scalar multiplication, multiplication, transpose, singular and non-singular matrices, cofactor matrix, adjoint of a matrix, inverse of a square matrix, and the application of matrices to solve simultaneous equations. This course provides a strong foundation for those wishing to pursue a degree in science or engineering, as well as those who wish to gain a better understanding of mathematics. Additionally, the course provides plenty of solved examples to help learners understand the concepts more easily.
Further Education:
This course on Matrices is suitable for preparing for further education, especially for those who wish to pursue a degree in science or engineering. The course covers various topics related to matrices, including different types of matrices, matrix operations, transpose, singular and non-singular matrices, inverse of a matrix, and applications of matrices. The course also includes plenty of solved examples to help learners understand the concepts better.
Course Syllabus
Matrices-I
Matrices-II
Matrices-III
Matrices-IV
Matrices-V
Matrices-VI (Application of Matrix)