3. (6 marks) For b1,b2, 63, 64 € R, consider the linear system of equations + 21 + 22 -11 + 22 23 624 = bi 3.13 + 2014 b2 23 + 2:04 b3 603 + 20:24 = 54 *) 21 + 2:01 + 4.22 where 11, 12, 13, 14 ER. (a) Find a system of equations that bı, b2, 63, 64 must satisfy in order for (+) to be consistent. bi [ must satisfy so (+) is (b) Using...
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 -...
Use the Gauss-Jordan method to solve the following system of equations. 5x+4y-3z+0 2x-y+5z=1 7x+3y+2z=1 Multiple Choice A.The solution is B.There is an infinite number of solutions. The solution is C. There is no solution.
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
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)
Consider the system of equations shown below. x - 4y + 5z = 8 -7x + 14y + 4z = -28 3x - 6y + z = 12 If the system is consistent, then write the solution in the form x = xp + xh, where xp is a particular solution of Ax = b and xh is a solution of Ax = 0. (If the system is inconsistent, enter INCONSISTENT in both matrices.) X = [ ] + t...
Consider the system of equations shown below. 2x - 4y + 5z = 10 -7x + 14y + 4z = -35 3x - 6y + z = 15 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent O inconsistent (b) If the system is consistent, then write the solution in the form x = Xp + xn, where xp is a particular solution of Ax = b and xn is a solution of Ax = 0....
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...
Consider the following system of linear equations: 2 2x + + 3y - 22 7y - 3z ky + 5z = = = 2 6 5 Find the value of k so that the system has no solutions. Your value of k should be an integer. Answer: Check
I Undertand how the first two rows came about in the matirx, but I dont underatnd how the last row was calculated. How did it go from -4b1 +b3 to -2b1-b2+b3 Problem 5. (20) Find conditions(s) on bi, bz and by in order to guarantee that the linear system 13 consistent *+y-2=b 2x - 4y + 5z = b2 4x - 2y + 3z = b3 Solution. We use the augmented matrix and reduce the system. 11 1 -16] [1...