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C++ Programming for Experienced Engineers

Matrix Class (Singular or Orthogonal)

Explore how to develop a C++ program that defines a Matrix class capable of checking whether a 3x3 matrix is singular or orthogonal. Understand functions like determinant calculation, transpose, and matrix multiplication to analyze matrices and identify their properties.

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Problem

Write a program to check whether a 3 x 3 matrix is a singularA singular matrix refers to a matrix whose determinant is zero. or an orthogonalWhen the product of a square matrix and its transpose gives an identity matrix, then the square matrix is known as an orthogonal matrix. matrix.

Sample run

Here’s what you should see when you run the program.

Enter elements for first array: 

Enter the element: 1
Enter the element: 0
Enter the element: 0
Enter the element: 0
Enter the element: 1
Enter the element: 0
Enter the element: 0
Enter the element: 0
Enter the element: 1

The Matrix: 
1  0  0  
0  1  0  
0  0  1  

The determinant for the given matrix: 1
mat1 matrix is not
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