Matrix Manipulation
In this project you will work with matrices of arbitrary order. You have to
implement a Matrix data structure, which stores the order of the matrix and its
elements. Your program should be able to read a matrix from a text file, the
format of which is provided below:
R C
A11 A12 . . . A1C
A21 A22 . . . A2C
. . . . . .
. . . . . .
AR1 AR2 . . . ARC
where R and C are integers specifying the order of the matrix, and the elements
of the matrix are floating-point numbers.
Furthermore, you need to implement the following matrix operations:
Addition
Subtraction
Multiplication (using Strassens algorithm)
Transpose
Inverse
For addition, subtraction, and multiplication, your program should read two
matrices and check their dimensions before proceeding with the algorithm. For
inverse, your program should make sure the matrix is nonsingular before
proceeding. After each operation, your program should print the input and
output matrices on the screen.
This program should be menu-driven.
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