definition of positive definitn Problem 2. (20 points) Consider the linear system Ax = b where [10-20 A = 1 1. Use Gaussian elimination with partial pivoting to find the solution x in exact arithmetic. 2. Use Gaussian elimination with partial pivoting to find the solution x in double precision floating point arithmetic, where 1 - 10-20 is represented by 1. 3. Compute the condition number of A in both the 1-norm and the co-norm. 4. Determine whether Gaussian elimination with partial pivoting is backward stable when solv- ing Ax = b