How to find the address in column major order?

Question

In a 2D integer array TD, assume that the row indices range from -3 to 7 and column indices range from 6 to 14. An element TD [-3, 6] stored at address 3220. Find out the dimension of TD and address of an element TD [2, 10], if TD stores the elements in column major order.

Answer 1

row indices range from -3 to 7, so there are 11 elements

column indices range from 6 to 14, so there are 9 elements

so the array contains 99 elements, in a block 11 x 9 BUT

the array is stored as 11 arrays of 9 elements each

the Base address is 3220

so beginning with the base address we must skip over

10 arrays of 9 integers each, which is 180 bytes

So now we're at 3400

offsets 2 integers more...

3040