This invention uses a novel mechanism to store a matrix of numbers or any two dimensional array of binary values in a novel storage entity called a Matrix Space. A matrix space which may reside in a processing unit, is designed to store a plurality of matrices or arrays of values into arrays of volatile or non-volatile memory cells or latch or flip-flop elements much like in a memory, but with accessibility in two or three dimensions. In this invention any row and/or any column of storage elements in a storage array is directly accessible for writing, reading or clearing via row bit lines and column bit lines, respectively. The elements in rows of arrays are selected or controlled for access using row address lines and the elements in columns of arrays are selected or controlled for access using column address lines. This allows access to data stored in matrix space arrays for use in matrix and array computations, by both rows and columns of the arrays.