3. Assume that you have performed Gauss-Jordan elimination on an augmented matrix and have come up with the following augmented matrix. What would be the solution to the system according to this output? If infinitely many solutions, make sure to classify the solutions in terms of a single variable. 10 1 4 0 1 0 0 0 1 -7

Solve the following systems of equations using a valid elimination algorithm, include all the elementary line operations that you used to solve it, then check that your result is correct, using another method (it can be computational). Write the solution vector. note: Do everything that is asked above (in the image are the equations and the matrix)

will only upvote if ALL parts are answered

Translate the given system of equations into matrix form. x+y= z = 3 3x + y + z 4 3x 4 100 N +¾= 1 3 [-]

Answer this numerical methods problem please

How can the following problem be solved?

Solve the following homogeneous system of linear equations: 3x1-6x2+9x3 = 0 -x1+2x2-3x3 = 0 3x1-6x2+9x3 = 0 If the system has no solution, demonstrate this by giving a row-echelon form of the augmented matrix for the system. You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. The system has no solution The system has no solution The system has a unique solution The system has infinitely many solutions 000 0 0 0 000

Consider the system: x+2y+3z=6 2x + 5y +3z=7 x + 8z = 14 a. Write the system as a matrix equation in the form of Ax = b b. Find A-¹ using elementary row operations and the inverse algorithm (show steps completely and carefully. No technology). c. Solve the system Ax = b using your result from part (b) and matrix multiplication. Show the basic steps (though you do not need to show the detail of the matrix multiplication process -- that can be done "in your head"). Your solution should be written as x = (a column matrix, as required for the multiplication)