Consider 0 -1 2 A=14 3 0 -1 -2 2 (1) (3 points) Use the algorithm from Section 2.2 to show that A is invertible and find its inverse. (2) (2 points) Find the determinant of A in two different ways: using cofactor expansion along the first row and using cofactor expansion along the third column. Check whether you did indeed obtain the same result twice. (3) (1 points) Find det(A"). (4) (1 points) Find det(5A). (5) (3 points) Find the adjoint of A. (6) (2 points) Consider the linear system Ax = b, where 2 b=|1 3 Find 5 using Cramer's Rule