Assume your computer is capable of solving a 1000×1000 system (of 64-bit numbers) in 1 second using gauss elimination. solve the following: a) how many floating-point operations per second (flops) is your computer capable of? b) how long will it take to solve a 10, 000 × 10, 000 system using gauss elimination? c) how long will it take to solve a 10, 000 × 10, 000 system with a banded structure of p = q = 2 using banded gauss elimination? d) how long will it take to solve a 1000 × 1000 system using gauss-seidel with 50 iterations?