Locality is affected by both reference order and data layout. The same computation as Problem $1$ can also be written below in Matlab, which differs from C by storing matrix elements within the same column contiguously in memory:

for i $=1$:$8$

for j $=1$:$8000$

A$($i$,$j$)=$ B$($i$,0)+$ A$($j$,$i$)$;

end

end

A$.$ How many cache blocks are required to hold all $32-$bit matrix elements being referenced?

B$.$ References to which variables exhibit temporal locality?

C$.$ References to which variables exhibit spatial locality?$\backslash$