3. Write the following systems of linear equations using augmented matrix form a. 6x+7y= -9 X-y=...
Use Cramer's Rule to solve (if possible) the system of linear equations. (If not possible, enter IMPOSSIBLE.) 4x - 2y + 3z = -11 2x + 2y + 5z = 1 8x - 5y – 2z = 10 (x, y, z) = (I
Write the matrix corresponding to the following system of linear equations. - 8x + 4y = 2 4x - 3y = 6 What is the corresponding matrix? (Do not simplify.) Tes Change the third equation by adding to it (-3) times the first equation. Give the abbreviation of the indicated operation. (x + 4y + 5z = 4 5x - 3y - 2z = 1 3x + 3y + 2z = 1 The transformed system is x + 5x -...
4. Solve the following system of linear equations using the inverse matrix method. 1 y = 1 2 , 3 2 -r- 1 5 4 a) x+y +z= 6 x-y-3z=-8 x+y- 2z=-6 b) Solve the following system of linear equations using Cramer's Rule. 5. 2 1 -X- 3 2 1 3 X+-y-1 5 4 y = 1 a) x+y+z= 6 x-y-3z=-8 x+y- 2z = -6 b) 4. Solve the following system of linear equations using the inverse matrix method. 1...
1. For each of the following systems of linear equations, find: • the augmented matrix • the coefficient matrix • the reduced row echelon form of the augmented matrix • the rank of the augmented matrix • all solutions to the original system of equations Show your work, and use Gauss-Jordan elimination (row reduction) when finding the reduced row echelon forms. (b) 2 + 2x W 2w - 2y - y + y + 3z = 0 = 1 +...
Solve the Following 3x3 system of linear equations using Cramer's Rule. Use the expansion by minors method to evaluate the determinants. Find the solution ordered triple and check. Show Work: 3x-2y+z=12 x+3y-2z=-9 2x-4y-3z=-4 [EXPAND ALONG ROW 1] "|" is just me manually making rows to show expansion steps x= |_______| = |________|______|_____|______|_____|= ________=_____= y= |_______| = |________|______|_____|______|_____|= ________=_____= z= |_______| = |________|______|_____|______|_____|= ________=_____= ordered triple: {(__,__)} Include checks on x,y,z sorry i tried uploading picture of problem but it...
(6 points) Evaluate the following system using the augmented matrix method. When performing row reduction, be sure to indicate your row operations. x 2x -x + 2y + 5y + 4y – + – 2= z = 2z = -3 1 3 (12 points) Evaluate the following system using Gauss-Jordan elimination. When per- forming row reduction, be sure to indicate your row operations. 2x x -x (a) – + + y + z = y + 2z = 3y +...
Write the system of equations corresponding to the augmented matrix. Then perform the row operations R1 = - 4r2 + 17 and R3 = 212 +13 on the given augmented matrix 9-611-6 2-4 3-6 - 4 15 5 Which of the following is the system of equations corresponding to the augmented matrix? OA. 9x-6y + 1 = -6 OB. 19x-6y +z = -6 2x - 4y +3 = -6 2x - 4y + 3z = -6 | - 4x +...
3. Solve the system of equations 5x + 3y + z 23 3x + 4y-z 21 4x + 5y 2z 26 4. Solve the system of equations. 4x-2y + 3z 27 5x 7y + 4z 39
Write the augmented matrix of the given system of equations. | x-4y = 9 6x + 5y = 7 The augmented matrix is
1. (a) Express the following system of equations in augmented matrix form. 2x - 4y + 5z = 9 x + 3y + 8z = 41 6x + y - 3z = 25 (2 marks) (b) Use Gaussian elimination to solve the system of equations. (6 marks)