Question 3 [20 points] (a) [15 Points] Use the Gaussian method to solve the linear system 3x - 2y + z = −3 -x + 2y3z = 2
Posted: Thu Jul 07, 2022 8:28 pm
Question 3 [20 points] (a) [15 Points] Use the Gaussian method to solve the linear system 3x - 2y + z = −3 -x + 2y3z = 2 (b) [5 Points] Determine whether the solution is unique. If it is not unique, find a solution for the linear system.
Question 9 Not yet answered Marked out of 60.00 Flag question You need to provide a clear and detailed justification for your answers. Question 1 [20 points] (a) [15 Points] Find the determinant of the matrix -1 1 1 -2 1 A = 2 3 -2 by reducing A to a triangular matrix. (b) [5 Points] Evaluate the determinant det (2A²A-¹). Question 2 [20 points] (a) [13 Points] Find the inverse of the matrix 2 3 A = -1 2 -2 -1 ( by elementary row operations. (b) [7 Points] Use the inverse of A to find the 233 solution of the linear system Ax = 3
Question 9 Not yet answered Marked out of 60.00 Flag question You need to provide a clear and detailed justification for your answers. Question 1 [20 points] (a) [15 Points] Find the determinant of the matrix -1 1 1 -2 1 A = 2 3 -2 by reducing A to a triangular matrix. (b) [5 Points] Evaluate the determinant det (2A²A-¹). Question 2 [20 points] (a) [13 Points] Find the inverse of the matrix 2 3 A = -1 2 -2 -1 ( by elementary row operations. (b) [7 Points] Use the inverse of A to find the 233 solution of the linear system Ax = 3