First image is introduction,second is task Matrix MultiplicationBesides adding matrices, there are many situations where we need to find the product of a matrix. Wewill look at two types of matrix multiplication, scalar multiplication of a matrix and the product of twomatrices.Scalar MultiplicationThe process of scalar multiplication involves multiplying each entry in a matrix by a constant, called ascalar. A scalar is a real number quantity that has magnitude but not direction, e.g. time, temperatureand distance are all examples of scalar quantities.Scalar multiplication can be performed with a matrix of any dimension as each individual item in thematrix is multiplied by the scalar value.General Case:Multiply the matrix A by the scalar value x:A =a2,1 a2,2x.a1,1 x.a1,2|x.а21 х.а22х.А —Product of two matricesFinding the product of two matrices involves multiplying one matrix by another matrix.It is only possible when the number of columns in the first matrix is equal to the number of rows in thesecond matrix, nĄ = mg.General Case:a1,1 a1,2b1,1 b1,2A =B =а2,1 а2,2b2,1 b22a1,1.b1,1 + a1,2.b2,1 a1,1.b1,2 + a1,2.b2,2a2,1.b1.1 + a22.b2,1 a2,1.b1,2 + a2,2.b2,2AB = Your TaskCreate structured, commented Python 3 code to implement the matrix operations above for any3 x 3 matrix.Additionally, the minimum specification below must be met:• be console/text-based• use nested lists and loops• include user defined functions• provide a basic menu system to allow the user to:- Enter and store the data for a 3 x 3 matrix- Find and display the sum of two 3 x 3 matrices- Find and display the scalar product of a 3 x 3 matrix- Find and display the product of two 3 x 3 matrices- Exit the program in a controlled manner• all code must be appropriately commentedThe task can be broken down as follows:1. Create structured, commented Python 3 code to implement the matrix operation algorithms tothe given specification.2. Conduct appropriate testing to ensure your code works for any 3 x 3 matrix.3. Write a technical document using the LaTeX template provided, which explains the operation ofyour code, and which includes your code listing as an appendix.

• provide a basic menu system to allow the user to: - Enter and store the data for a 3 x 3 matrix - Find and display the sum of two 3 x 3 matrices - Find and display the scalar product of a 3 x 3 matrix - Find and display the product of two 3 × 3 matrices - Exit the program in a controlled manner • all code must be appropriately commented

• provide a basic menu system to allow the user to: - Enter and store the data for a 3 x 3 matrix - Find and display the sum of two 3 x 3 matrices - Find and display the scalar product of a 3 x 3 matrix - Find and display the product of two 3 × 3 matrices - Exit the program in a controlled manner • all code must be appropriately commented

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

First image is introduction,second is task

Matrix Multiplication
Besides adding matrices, there are many situations where we need to find the product of a matrix. We
will look at two types of matrix multiplication, scalar multiplication of a matrix and the product of two
matrices.
Scalar Multiplication
The process of scalar multiplication involves multiplying each entry in a matrix by a constant, called a
scalar. A scalar is a real number quantity that has magnitude but not direction, e.g. time, temperature
and distance are all examples of scalar quantities.
Scalar multiplication can be performed with a matrix of any dimension as each individual item in the
matrix is multiplied by the scalar value.
General Case:
Multiply the matrix A by the scalar value x:
A =
a2,1 a2,2
x.a1,1 x.a1,2
|x.а21 х.а22
х.А —
Product of two matrices
Finding the product of two matrices involves multiplying one matrix by another matrix.
It is only possible when the number of columns in the first matrix is equal to the number of rows in the
second matrix, nĄ = mg.
General Case:
a1,1 a1,2
b1,1 b1,2
A =
B =
а2,1 а2,2
b2,1 b22
a1,1.b1,1 + a1,2.b2,1 a1,1.b1,2 + a1,2.b2,2
a2,1.b1.1 + a22.b2,1 a2,1.b1,2 + a2,2.b2,2
AB =

Your Task
Create structured, commented Python 3 code to implement the matrix operations above for any
3 x 3 matrix.
Additionally, the minimum specification below must be met:
• be console/text-based
• use nested lists and loops
• include user defined functions
• provide a basic menu system to allow the user to:
- Enter and store the data for a 3 x 3 matrix
- Find and display the sum of two 3 x 3 matrices
- Find and display the scalar product of a 3 x 3 matrix
- Find and display the product of two 3 x 3 matrices
- Exit the program in a controlled manner
• all code must be appropriately commented
The task can be broken down as follows:
1. Create structured, commented Python 3 code to implement the matrix operation algorithms to
the given specification.
2. Conduct appropriate testing to ensure your code works for any 3 x 3 matrix.
3. Write a technical document using the LaTeX template provided, which explains the operation of
your code, and which includes your code listing as an appendix.

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