The number of different matrices that can be formed with elements 0, 1 , 2 or 3, each matrix having 4 elements, is

A matrix having 4 elements can be of the order1 x 4 or 4 x 1 or, 2 x 2. Since each element can take 4 values viz0, 1, 2, 3.∴ Number of different matrices of order 1x 4 is equal to4×4×4×4=44Similarly, number of matrices of each order is 44.Hence, required number of matrices =44+44+44=3×44.