This problem concerns the equation Ax = b, where A = −1 1 0 α and α > 0. (a) For what values of α is this matrix ill-conditioned? Make sure to identify what norm you are using. (b) Suppose the residual r is small (but nonzero). For what values of α, if any, will the error e = x − xc be large? Note x is the exact solution and xc is the computed solution. (c) Suppose the error e is small (but nonzero). For what values of α, if any, will the residual be large?