1. Advanced Data Structure using C++

LECTURE NOTES OF ADVANCED DATA STRUCTURE (MT-CSE 110)
Functions:‐
A function is a relation between a given set of elements (the domian) and
another set of elements (the codomain), which associates each element in the
domain with exactly one element in the codomain. The elements so related can
be any kind of thing (words, objects, qualities).
In matrix, a matrix coefficient (or matrix element) is a function on a group of a
special form, which depends on a linear representation of the group and
additional data.
OPERATIONS ON MATRIX:‐
The operations most commonly performed on matrices are:‐
(A) ADDITION
(B) SUBTRACTION
(C) MULTIPLICATION
(D) TRANSPOSE
(A) ADDITION:‐
The sum of two matrices is defined only when the two matrices
are compatible i.e. have the same number of rows and columns. The sum of
two m*n matrices A and B is a third m*n matrix C such that Cij=aij+bij (for 0 ≤
i ≤ m‐1 and 0 ≤ j ≤ n‐1).
The sum of two matrices is the matrix, which (i,j)‐th entry is equal to
the sum of the (i,j)‐th entries of two matrices:
The two matrices have the same dimensions. Here A + B = B + A is true.
(B) SUBTRACTION:‐
Prepared By :­
Er. Harvinder Singh
Assist Prof., CSE, H.C.T.M (Kaithal) Page ‐ 122 ‐