A matrix M has 3 rows and 4 columns. The 12 entries in the matrix are to be sto...

A matrix M has 3 rows and 4 columns.

The 12 entries in the matrix are to be stored in row major form in locations 7,609 to 7,620 in a computer’s memory.This means that the entries in the first row (reading left to right) are stored first, then the entries in the second row, and finally the entries in the third row.

a. Which location will a₂₂ be stored in?

b. Write a formula (in i and j ) that gives the integer n so that a_{i j} is stored in location 7,609 +n.

c. Find formulas (in n) for r and s so that a_rs is stored in location 7,609 +n.