1. consider the following augmented matrix: [0.01 | 1 11 2] 22 4 (a) pretend your calculator only stores numbers up to 3* significant figures. use gaussian elim- ination (without partial pivoting) to solve this system, rounding to 3* significant figures at every step. [4 marks] (b) now use gaussian elimination with partial pivoting to solve this system, still rounding to 3* significant figures at every step. [4 marks] (c) what is the actual, exact solution to this system? which of these two methods is more accurate? why? [3 marks]