Introduction to Task 2

This document introduces Task 2, which demonstrates the implementation and testing of two numerical operations: a vector sum and a matrix multiplication. These operations are implemented in both Python and C++.

Prerequisites

• Docker must be installed and an AlmaLinux9 container set up for Python and C++ development.
• Follow the Docker and container setup instructions in Task 1 before proceeding with Task 2.

In Task 2, you will find:

• A Vector Sum implementation that computes:

  \[ d = a \cdot x + y, \]

  where \(a\) is a scalar and \(x\) and \(y\) are vectors.

• A Matrix Multiplication implementation that computes:

  \[ C = A \, B, \quad \text{with} \quad C_{ij} = \sum_{k=1}^{N} a_{ik} \, b_{kj}, \]

  where \(A\), \(B\), and \(C\) are \(N \times N\) matrices.

Each operation comes with separate test suites that measure execution time and validate correctness.