(1 point) Convert the system C 1 + 5x2 + 4x3 = -3x1 - 13x2 - 8x3 to an augmented matrix. Then reduce the system to echelon form and determine if the system is consistent. If the system in consistent, then find all solutions. Augmented matrix: Echelon form: Is the system consistent? select Solution: (1, 2, 23) = + $1, + + $1 Help: To enter a matrix use [[ ],[ ]] . For example, to enter the 2 x 3 matrix 1 2 3 6 5 4 you would type [[1,2,3],[6,5,4]], so each inside set of [ ] represents a row. If there is no free variable in the solution, then type 0 in each of the answer blanks directly before each s1. For example, if the answer is (X1, X2, X3 ) = (5, -2, 1), then you would enter (5 + 0s1, -2 + 0s1, 1 + 0s, ). If the system is inconsistent, you do not have to type anything in the "Solution" answer blanks.(1 point) Convert the system 1 - 2x2 - 3 = -2x1 + 5x2 + 3x3 = 7x1 - 16x2 8x3 = 29 to an augmented matrix. Then reduce the system to echelon form and determine if the system is consistent. If the system in consistent, then find all solutions. Augmented matrix: Echelon form: Is the system consistent? select v + $1. + $1 Solution: (1, 2 2, 23) = + S1 . Help: To enter a matrix use [[ ],[ ]] . For example, to enter the 2 x 3 matrix 1 2 3 6 5 4 you would type [[1,2,3],[6,5,4]], so each inside set of [ ] represents a row. If there is no free variable in the solution, then type 0 in each of the answer blanks directly before each s1 . For example, if the answer is (X1, X2, 23 ) = (5, -2, 1), then you would enter (5 + 0s1, -2 + 0s1, 1 + 0s, ) . If the system is inconsistent, you do not have to type anything in the "Solution" answer blanks.(1 point) Convert the augmented matrix 2 4 3 3 3 0 1 4 1 to the equivalent linear system. Use x1 and x2 to enter the variables :31 and :32. (1 point) Determine the value of h such that the matrix is the augmented matrix of a consistent linear system. i 8'1"] 24 15 4 (1 point) Determine the value of h such that the matrix is the augmented matrix of a linear system with infinitely many solutions. l1: ll l (1 point) Solve the equation -2x - 9y + 5z = 19. y +S +t