A Practical One Way Hash Algorithm based on Matrix Multiplication

It is well known that Hash algorithm works in one way, and it cannot be reversed. We can build a new algorithm by using Hill cipher technique .Since its invention in 1929, Hill cipher algorithm which is one of the most famous symmetric cryptosystems .Hill cipher requires the inverse of the key matrix for decryption. This inverse not always exists, so we can use non-invertible matrices to propose a model for our new hash algorithm, and we proof the four requirements that needed to design a practical one way hash algorithm.