Objectives: To offer the learner the relevant linear algebra concepts through computer science applications.

Expected Learning Outcomes:

1. Appreciate the relevance of linear algebra in the field of computer science.
2. Understand the concepts through program implementation
3. Instill a computational thinking while learning linear algebra

Note : All Output are in doc file. In each prac folders.

Practical 1 : Aim-- Write a program which demonstrates the following:

• Addition of two complex numbers
• Displaying the conjugate of a complex number
• Plotting a set of complex numbers
• Creating a new plot by rotating the given number by a degree 90, 180, 270 degrees and also by scaling by a number a=1/2, a=1/3, a=2 etc.

Practical 2 : Aim-- Write a program to do the following:

• Enter an r by c matrix M (r and c being positive integers)
• Display M in matrix format
• Display the rows and columns of the matrix M
• Find the scalar multiplication of M for a given scalar.
• Find the transpose of the matrix M.

Practical 3 : Aim-- Write a program to do the following:

• Enter a vector u as a n-list
• Enter another vector v as a n-list
• Find the vector au+bv for different values of a and b
• Find the dot product of u and v

Practical 4 : Aim -- Write a program to do the following:

• Find the vector –matrix multiplication of a r by c matrix M with an c-vector u.
• Find the matrix-matrix product of M with a c by p matrix N.

Practical 5 : Aim-- Write a program to do the following: using numpy

• Find the vector –matrix multiplication of a r by c matrix M with an c-vector u.
• Find the matrix-matrix product of M with a c by p matrix N.

Practical 6 : Aim-- Write a program to do the following:

• Enter a positive number N and find numbers a and b such that a2 – b2 = N
• Find the gcd of two numbers using Euclid’s algorithm.

Practical 7 : Aim

• Write a program to convert a matrix into its row echelon form.

Practical 8 : Aim

• Write a program to enter a given matrix and an eigen value of the same. Find its eigen vector.