Convolution of two matrices with time index

This is just a part of my code and I'm almost done, and this is the only part I'm having a hard time. Let's say I have two vectors (in array or matrix form) and I am not allowed to use conv() and fliplr() built-in functions. I have two inputs(A and B) and each input can be two row matrices, first row is the input sequence and second row is the time index n. How will I do this? The output matrix needs to be a two row matrix also(C as output sequence and N as output time index). The CONVOLUTION's main operations needed are FOLDING, SHIFTING, MULTIPLICATION and ADDITION. Then I need to check with this trial(see attached photo).

I have my a user-defined function like this and I don't know what code I will put:

function [C, N] = CONVOLVE(A, B)

    % Line below will just flip the given row matrix
    B = B(end:-1:1);
    
end

To anyone who can/will help me, thank you so much in advance!

Answer 1

[Srivardhan Gadila]

You can refer to the following:

1. https://www.mathworks.com/matlabcentral/answers/365308-manual-code-for-convolution
2. https://www.mathworks.com/matlabcentral/fileexchange/23402-convolution-in-matlab-without-using-conv-x-h
3. https://www.mathworks.com/matlabcentral/answers/388344-how-can-i-implement-a-convolution-function-in-matlab-and-perform-it-on-the-following-signals-and-plo
4. https://www.mathworks.com/matlabcentral/answers/?search_origin=ans_leaf&term=convolution+code+

[Van Cygnon Tango]

Thank you for the guide Mr. @Srivardhan Gadila !