B.Sc Method Chapter 5 (Determinants) Notes

Sami Aslam

Mathematical Methods (B.Sc.)

Chapter:05 (Determinants)

In this chapter, we will study the following topics:

the determinant of a square matrix
coefficient matrix and the augmented matrix
the determinant of order 2
the determinant of order n
axiomatic definition of a determinant
determinant as a summary of the product of elements
a determinant of the transpose
expansion of determinants by rows
rows expansion
elementary row (column) operation
elementary matrix
the product theorem
an algorithm to evaluate det A
A Muslim scientist Al-khawarizmi
circulant determinants
determinants and inverse of matrices
adjugate or adjoint of A
eigenvalues of the matrix A
expansion of det A by cofactors of jth column of A

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