The LINPACK Benchmarks are a measure of a systems oating point computing power. Introduced by Jack Dongarra, they measure how fast a computer solves a dense nn system of linear equations Ax = b. This is the standard measure for computer speed. Supercomputers (which usually have linux operating systems) can do about 10 petaops in one second. One petaop is 1015 ops. Titan, a supercomputer in the Oak Ridge National lab, is the fastest computer in the US. It can perform 17.59 petaops every second. We assume that it takes 2 3 n3 ops for Gauss Elimination. (a) Calculate how much time (in seconds) does Titan need to solve a 50000 by 50000 system Ax = b. (b) Suppose a laptop performs 20 gigaops per second. Calculate how much time (in seconds) does this laptop need to solve a 50000 by 50000 system Ax = b.