Project: Numeric Matrix Processor

Stage 1: Addition

Objectives

In this stage, you should write a program that:

1. Reads matrix A from the input.
2. Reads matrix B from the input.
3. Outputs their sum if it is possible to add them. Otherwise, it should output the ERROR message.

Each matrix in the input is given in the following way: the first line contains the number of rows n and the number of columns m. Then n lines follow, each containing m integers representing one row of the matrix.

Output the result in the same way but don't print the dimensions of the matrix.

Stage 2: Multiplication by number

Objectives

Write a program that reads a matrix and a constant and outputs the result of their multiplication.

Stage 3: Matrix by matrix multiplication

• 3Blue1Brown: Essence of linear algebra (15 chapters)

Objectives

Write a program that does the following:

1. Prints a menu consisting of 4 options and reads the user's choice.
2. Reads all data (matrices, constants) needed to perform the chosen operation.
3. Calculates the result and outputs it.
4. Repeats all these steps until the "Exit" option is chosen.

Stage 4: Transpose

Objectives

1. Add an option to transpose matrices.
2. If the user chooses this option, program should provide them with 4 types of transposition and ask them to choose one.
3. Then it should read the matrix, transpose it, and output the result.

Stage 5: Determined!

• Youtube: Minors and Cofactors

Objectives

1. Add support calculating the determinant of a matrix.

Stage 6: Inverse matrix

• Youtube: Inverse of a Matrix
• Youtube: Inverse of a 2x2 Matrix using Adjoint
• Youtube: Inverse of a 3x3 Matrix using Adjoint

Objectives

1. Add support finding the inverse of a matrix
2. Implement a method that prints a matrix in a readable way so that every column is correctly aligned and all elements are rounded to a fixed number of digits.