Find the basis and the dimension of the following linear solution system:
Find the basis and the dimension of the following linear solution system: x + y +...
3. Write the following systems of linear equations using augmented matrix form a. 6x+7y= -9 X-y= 5 b. 2x-5y= 4 4x+3y= 5 C. x+y+z= 4 2x-y-z= 2 -x+2y+3z= 5 4. Solve the following Systems of linear equations using Cramer's Rule a. 6x-3y=-3 8x-4y= -4 b. 2x-5y= -4 4x+3y= 5 c. 2x-3y+z= 5 X+2y+z= -3 x-3y+2z= 1
In exercises 9-18 apply elementary equation operations to the given linear system to find an equivalent linear system in echelon form. If the system is consistent then use back substitution to find the general solution. See Method (1.11) and Method (1.1.2) 4x + 3y + z = 0 3x + 2y + z = -2 10. 3x-5y + 2z =-1
2. a) Find the dimension of the solution space of the homogeneous linear system (1 point) x-3y + z = 0 2x-6y + 2z = 0 2x + 4y-82=0 b) Find a basis for the solution space. (1 point)
Your problem is to find the optimal solution to the following linear programming model where X, Y and Z represent the amounts of products X, Y and Z to produce in order to minimize some cost. Min 4X + 2Y + 6Z s.t. 6X + 7Y + 10Z ≤ 80 (1) 2X + 4Y + 3Z ≤ 35 (2) 4X + 3Y + 4Z ≥ 30 (3) 3X + 2Y + 6Z ≥ 40 (4) X,Y,Z ≥...
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 -...
Solve the following system of three linear equations by creating (a) a row vector for x, y, and z, and (b) a column vector for x, y, and z (using matlab): -4x+3y+z=-18.2 5x+6y-2z=-48.8 2x-5y+4.5z=92.5
12: Find a basis B for R', such that the matrix for the linear transformation T: R' R', T(x,y,z)-(2x-2z,2y-2z,3x-3z) relative to B is diagonal.
12: Find a basis B for R', such that the matrix for the linear transformation T: R' R', T(x,y,z)-(2x-2z,2y-2z,3x-3z) relative to B is diagonal.
1. {5 points) The solution to the following system of linear equations is (2.0). Use a method of your choice to show how this answer could be arrived at. 3x + y = 6 2x + 5y = 4 2. {5 points) The following system of equations has no solution. Use the echelon method to show how this conclusion was arrived at. 2x - 3y = 2 4x - y = 5 3. {5 points) The solution to the system...
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...
Please answer questions 51,52 & 53
And include all work. Thanks.
3-58, solve the system by using the elimination method. 33. 4x + 3y = 7 35. 3x-2y=1 ad 34. x 2y x+2y = 3 36, 2x-2y = 1 -2x tys3 38. y=2x-4 y=4-2x 40. 2x-5y = 7 2x + 2y = 5 42, 3x-4y = 7 - 3y3 3x y3 37, y = 3x + 5 y=5-3x 39. 3x+2y=10 41, 2x-3y = 5 3x-3y = 1 43, 3x+5y =...