In scientific computing, matrix data are taking important role for representing the physical structure to be understood. Thus, developing efficient algorithms with those matrices is getting more important on high performance computing systems. Difficulty resides in comparing the algorithms with different machines, different matrices and different programs. Regarding performance evaluation in high performance computing, establishing standard data set especially as matrices is strongly desired so that the input data for those algorithms are shared by each other. So, the authors have been developing the "Matrix Workshop" to demonstrate the feasibility of the system which generates matrix data set by giving the matrix structure, dimension of the matrix, and so on. Users accessing the system via WWW or http are able to archive arbitrary size of the matrices with which they understand the behavior of the algorithms developed. In this material, the design overview and preliminary application results are shown.