$7$:$1*$

Midterm$\_$Project$\_$ff$135$c$9$d$4.$

OBJECTIVES

This project will make you professional in dealing with Java statements, specifically selection statements, loops, files, arrays, and methods.

GUIDELINES

You must make documentation by using comments to easily understand the code after a break.

DEADLINE

Deadline for this project and report is $11$:$55$ PM on $13-05-2024.$

Students who choose to take the exam face$-$to$-$face should discuss the project on time.

PROJECT Description

Write a program that performs arithmetic operations on matrices. Given two matrices A and $B,$ you are given a list of queries to answer. A query will be one of the following:

SUMAB

@$(A+B)$

SUBTAB

@$,(A-B)$

SUBT BA

@$(B-A)$

MULAB

@$(A**B)$

MULBA

@$(B**A)$

Transpose A

Transpose B

Your task is to write a program which answers these queries.

IP a g e $1$

INPUT

Your program will be tested on one or more test cases. The first line of the input will be a single integer $T,$ the number of test cases $)T(100.$ After that follow the specifications of $T$ test cases. Each test case starts with a line containing $2$ integers separated by a single space N$1$ M$1(N130$ representing the dimensions of the matrix A$,$ followed by $N1$ lines containing $M1$ integers separated by spaces. The $j-$th number in the $i-$th line is the number in the cell $(i,j$ in the matrix $A.$ Followed by a line contains $2$ integers separated by a single space $N2$ M$2(1N230,(1M230$ representing the dimensions of the matrix B$,$ followed by N$2$ lines contains M$2$ integers separated by spaces. The $j-$th number in the $i-$th line is the number in the cell $(i,j)$ in the matrix $B.$ Followed by a line containing an integer $Q,$ the number of queries, followed by $Q$ lines, each line contains a single query of the previously defined. OUTPUT

For each test case print the test case number, then print the result of each query. The output must not contain empty lines between the cases.

NOTE:

it is guaranteed that all queries can be performed on the given matrices, so you do not have to check it