Assignment4 (Java Basics)
تفاصيل العمل
Problem 1: Transpose of a Matrix Using Functions
Description:(Note You must adhere with the given arguments)
Write a program that uses four functions to handle matrix operations:
1. Input Matrix Function inputMatrix(nRows, nCols)
o Accepts nRows (rows) and nCols (columns) as arguments.
o Asks the user to input matrix elements and return the matrix
2. Transpose Function transposeMatrix (matrix, rows, cols)
o Accepts the original matrix and its dimensions.
o Transposes the matrix and returns the new matrix.
3. Print Matrix Function printMatrix (transposedMatrix, rows, cols)
o Accepts a matrix and its dimensions.
o Prints the transposed matrix in a formatted way.
4. Is Symmetric Function isSymmetric (matrix, rows, cols) Returns
true if transposed matrix = original matrix otherwise returns false.
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Problem 2: Verify Identity Matrix
Description:(Note You must adhere with the given arguments)
Write a program with two functions to verify if a given matrix is an
identity matrix:
1. Input Matrix Function inputMatrix(nRows, nCols)
o Accepts nRows (rows) and nCols (columns) as arguments.
o Asks the user to input matrix elements and return the matrix.
2. Is Identity Function isIdentity (Matrix, nRows, nCols)
o Accepts the matrix and its dimensions.
o Returns true if matrix is an identity, otherwise returns false.
An identity matrix is a square matrix where:
1. All diagonal elements are 1.
2. All non-diagonal elements are 0.
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Problem 3: Convert a 1D Array into a Matrix
Description: (Note Make each operation into function)
1. Convert the 1D array into a 2D matrix of user-specified dimensions.
2. Sum of each row => return array contains sum of each row
3. Sum of each column => return array contains sum of each column
4. Sum of each diagonal => return array contains sum of each diagonal