Determine the pivot element in the simplex tableau. (If there is more than one correct pivot element, choose the element with the smaller row number.)
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- Consider the simplex tableau given below. a. Show the values after one pivot operation in the tableauSuppose that a magnet high school includes grades 11 and 12, with half of the students in each grade. Half of the senior class and 10% of the junior class are taking calculus. Create a hypothetical table of 200 students for this situation. Use grade (junior, senior) as the row variable. Grade Calculus No calculus Total Junior 10 Senior Total 200A)reduced row-echelon form: b)If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, enter z in the answer blank for z, enter a formula for y in terms of z in the answer blank for y and enter a formula for x in terms of z in the answer blank for x. If there are no solutions, leave the answer blanks for x, y and z empty. x= y= z=
- Consider the simplex tableau given below. (A) Where is the pivot element is located? (B) What is the entering variable (C) What is the exiting variable (D) Show the values after one pivot operation in the tableauDetermine if the system has a nontrivial solution. Try to use as few row operations as possible. 2x1−5x2+8x3 = 0 −2x1−7x2+x3 = 0 4x1+2x2+7x3 = 0Solve the following linear system using Gauss-Jordan elimination. Indicate all elementary row operations that you are performing.
- Consider the following intermediate tableau (not the Initial Simplex tableau): p x1 x2 s1 s2 rhs 0 0 1 1/2 -1/2 3/2 0 1 0 1/2 1/2 5/2 1 0 0 2 -1 7 a) Determine the pivot column and the pivot element, and perform all the row operations for the entire pivot column to obtain the next new tableau. Once you have the new tableau, look at the numbers you have in the objective row and enter each one as requested in each box below. Note: Where applicable, fractions must be entered as 2/5, -1/3, and so on. Under column x1 in the objective row, you have: Under column x2 in the objective row, you have: Under column s1 in the objective row, you have: Under column s2 in the objective row, you have: Under column RHS in the objective row, you have: b) Given the new tableau that you obtained above, three interpretations are possible. In the box below, type or copy and paste whichever answer shown in boldface letters below that you think…Which of the following is not an elementary row operation...Immersive Reader a. One line times a non-zero constantb. Swapping two linesc. One line is multiplied by a non-zero constant then added to another lined. One line times zero constantif (A|b) is in reduced row echelon form, prove that A is also in reduced row echelon form.
- Use row reduction algorithm to solve the following system of equations. x1 − 7x2 + 6x4 = 5 x3 − 2x4 = −3 −x1 + 7x2 − 4x3 + 2x4 = 71. Find the Row Reduced Echelon Form (RREF). 2. Identify leading and free variables. 3. Write out the proper form of solutions.Reduce to reduced row-echelon form A = [ -4 3 15] [ 3 -1 -5]