Intro Fellowship Application Coding Challenge 

Fall 2024 challenge: Matrix Multiplication!

Write some code in your favorite programming language (Python preferred) that
first reads a value N from standard in, then reads 2 N x N matrices also from
stdin, multiplies them together, and subsequently writes the resulting matrix
to stdout. Please use the `test.py' to make sure that your solution correctly
interacts with standard out. Additionally, please avoid using built-in matrix
multiplication functions or third-party libraries. Although languages such as
Julia and MATLAB, or Python's numpy library, can already perform these tasks,
avoid using these: instead write the matrix multiplication function yourself.
To be clear, your main concern is that your code is correct. Bonus points for
making your code efficient (ie. cache-friendliness). Good luck, and have fun!

A sample input would be:

3
0 1 2
3 4 5
6 7 8
1 0 0
0 1 0
0 0 1

For which the output should be:

0 1 2
3 4 5
6 7 8

Run the test harness with `python test.py YOURPROGRAMHERE`.