Question

A matrix A[m] [m] is stored in the memory with each element requiring 4 bytes of storage. If the base address at A[1] [1] is 1500 and the address of A[4][5] is 1608, determine the order of the matrix when it is stored in Column Major Wise.

Answer 1

Base Address, B = 1500 

W = 4 Bytes 

i = 4, j = 5, r = 1, c = 1 

Formula for Column Major Wise 

A[4][5] = B + W[m(j – c) + (I – r)] 

1608 = 1500 + 4[m(5 – 1) + (4 – 1)] 

1608 – 1500 = 16m + 12 

16m = 96 

m = 6