1. Consider the system of equations 4x1 -4x1 - 12-313-6 = 12+4x3 = 1 8x14x26x3 = -18 (a) Enter it into MATLAB as an (augmented) matrix named A. (b) Use elementary row operations (as in part 5 of the guide) to reduce it to row echelon form. (c) Continue using elementary row operations to get to reduced row echelon form. (d) * Give the solution of the system. 2. Consider the system of equations - - 122 33 +24 25 = −7 -2x19x2+6x3-84+16x5 == 14 -21 72+ 3г3-24+1125 =-3 4x1+82-12x3 +4x5=-8 (a) Enter it into MATLAB as an (augmented) matrix named B. (b) Use elementary row operations (as in part 5 of the guide) to reduce it to row echelon form. (c) Continue using elementary row operations to get to reduced row echelon form. Yes, you have to. (d) Re-enter the original matrix into MATLAB and use the rref command to instantly get the reduced row echelon form. Make sure it is the same as your previous answer. (From this point onward, we will make extensive use of the rref command in MATLAB. You do not need to do row reduction in MATLAB one elementary row operation at a time anymore.) (e) * Give the solution of the system in parametric vector form.

1. Consider the system of equations 4x1 -4x1 - 12-313-6 = 12+4x3 = 1 8x14x26x3 = -18 (a) Enter it into MATLAB as an (augmented) matrix named A. (b) Use elementary row operations (as in part 5 of the guide) to reduce it to row echelon form. (c) Continue using elementary row operations to get to reduced row echelon form. (d) * Give the solution of the system. 2. Consider the system of equations - - 122 33 +24 25 = −7 -2x19x2+6x3-84+16x5 == 14 -21 72+ 3г3-24+1125 =-3 4x1+82-12x3 +4x5=-8 (a) Enter it into MATLAB as an (augmented) matrix named B. (b) Use elementary row operations (as in part 5 of the guide) to reduce it to row echelon form. (c) Continue using elementary row operations to get to reduced row echelon form. Yes, you have to. (d) Re-enter the original matrix into MATLAB and use the rref command to instantly get the reduced row echelon form. Make sure it is the same as your previous answer. (From this point onward, we will make extensive use of the rref command in MATLAB. You do not need to do row reduction in MATLAB one elementary row operation at a time anymore.) (e) * Give the solution of the system in parametric vector form.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.2: Guassian Elimination And Matrix Methods

Problem 83E: Explain the difference between the row-echelon form and the reduced row-echelon form of a matrix.

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