The augmented matrix for the given set of equations is
(a)
Row Echelon Form (REF)
The transformed equation from the above REF matrix are
So the solution is
(b)
Reduced Row Echelon Form (RREF)
From the above matrix, the solution to the given set of equations is
Problem No. 2.4 0PS 2.xi-7x2-5x3 1 -7x1-32-9x3-3 Solve the system of linear equations by modifying it...
/ 10 pts. Problem No. 2.6 1 + 2 x2 + 4 = + 2x2 + 2 x3 = 1 | x1 +2 x2 + 3x3 = -6 Solve the system of linear equations by modifying it to REF and to RREF using elementary equivalent operations. Show REF and RREF of the system. Matrices may not be used. Show all your work, do not skip steps. Displaying only the final answer is not enough to get credit.
Problem No. 2.7 10 Pa 3 x-72 +4x3 5 -2x1+6x2-7x3-2 x4-5 x-4x2 +3 x3 +2x4-6 Solve the system of linear equations by modifying it to REF and to RREF using elementary equivalent operations. Show REF and RREF of the system Show all your work, do not skip steps Displaying only answer is not enough to get credit. Matrices may not be used
-8x1-3x2+2x3 0 -xi + 4x2 + 2x3 0 Determine if the system has nontrivial solution. Try to use as few equivalent row operations as possible. Show all your work, do not skip steps Displaying only answer is not enough to get credit Solution (Show all intermediate steps, formulas, calculations, explanations and comments below this line. Don't write above this line) -xi-3x2 + 5x3-0 13- -3x 7x2 +9x3 0 Write the solution set of the given homogeneous system of equations in...
FEL 1120 Linear Systems 2016 PART NO. 1. SOLVE THE FOLLOWING PROBLEMS Problem No. Solve the following system of linear equations using elementary row operations (do not use matrices when solving it) Show every step when modifying the system to REF 2. Show REF of your system 3. Show all steps to modify the system to 4. Show RREF of your system 5. Write the solution ( y-2v + x + 3y + 2z = 1 -V + 2x +...
Problem No. 1.4 / 10 pts. Solve the given system using elementary row operation Do not use matrices Show all your work, do not skip steps. Displaying only final answer is not enough to get credit. Problem No. 1.4 / 10 pts. Solve the given system using elementary row operation Do not use matrices Show all your work, do not skip steps. Displaying only final answer is not enough to get credit.
1. Consider the following system of linear equations: (8 marks) x+y = 3 7 7 2 -x+z=2 y-w=1 W = 4 z + w = 4 1) Use Gauss-Jordan elimination to put the augmented matrix corresponding to this system into reduced row echelon form. Clearly show all the elementary row operations applied. (3 marks) 12 nn