We have discussed the blocking technique to improve the performance of dense matrix

multiplication in the class. In this assignment, you are asked to implement the original and

blocking codes of dense matrix multiplication, run the following experiments on your

computer, report the results, and compare the performance. Assume the array size is $NxN.$

Implement the original code of matrix multiplication and set the value of $N$ to $2048.$

Compile the code using the optimization options $"-00"($no compiler optimization$)$

and $"-03"($standard compiler optimization$)$ with gcc$,$ respectively. What is the

speedup using $"-03"$ compared with using $"-00"?$ If you are using a compiler other

than gcc$,$ use two different optimization options supported by the compiler to run

the experiments, one without any compiler optimization and another with standard

compiler optimization.