1) a) If A is a 4×5 matrix and B is a 5×2 matrix, then
size of AB is:
b) If C is a 3×4 matrix and size of DC is 2×4 matrix , then size of D is:
c) True or False: If A and B are both 3 × 3 then AB = BA
d) The 2 × 2 identity matrix is: I =
e) Shade the region 3x + 2y > 6.
f) Write the augmented matrix correspond with the following system:
3x−y+5z = 7
7x−3z = 1
9y+11z = 14
g)
Apply the row operation R1 + 2R3 → R1 on the following matrix:
2 −3 1 | 4
2 0 6 | −5−→
[1 −1 1 | 0 ]
h) True or False: The point (2, 1) is in the following feasible region: x+2y ≤ 5, 5x−6y<7, and x ≥ 0, y ≥ 0.
I) True or False: (x = −1, y = 2, z = 3) is a solution to the following system of linear equations: x + 2y − z = 0; 3x + 3y + z = 6; 5x + 3y − z = 6
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 -...
Find the volume of the following regions bounded by the planes: a). 3x+8y+8z=9, 3x+8y+8z=9, y=x, x=0, z=0. b). 5x+3y+5z=2, 5x+3y+5z=2, y=x, x=0, z=0.
help with solving questions 2 and 3 Solve 2x + 3y + 5z = 2 3x - 2y + z = 1 4x + 5y - 2z = 3 Solve 5x^2 + 3x + 4 = 0
JU, I - 4, y = -1 = (4, -1) The solution is the ordered pair (4, -1) Check by substituting these values into the original equations. EXERCISES Use the substitution method to solve each system of linear equations. 1) x = y + 3 x + 7 = 2y 2) y = 2x 3x + y = 10 3) y = 3x 5x - 2y = 1 4) y = x + 4 3x + y = 16 5)...
Using MatLab!!!! 1.b 1. Program the Gauss-Seidel method and test it on these examples: ( 3x + y +z = 5 a. { x + 3y - 2 = 3 ( 3x + ” – 5z = -1 | 3x + y +z = 5 b. {3x + y — 5z = -1 1 x + 3y – 2 = 3 Analyze what happens when these systems are solved by simple Gaussian elimination without pivoting.
5 1 Solve the following system of equations by using the inverse of the coefficient matrix. The inverse of the coefficient matrix is shown. 0 4 4 4 11 1 Niw w 2 2 1 А x - 2y + 3z = -1 3 13 1 -2 y - Z + W = -5 4 4 4 - 3x + 3y - 22 + 5 w = -2 3 5 1 - 1 2y - 32 + W = 3...
Name Date Period Kuta Software Solving Systems of Equations by Substitution Solve each system by substitution. 1) y=6x-11 2) 2x - 3y = -1 -2x - 3y =-7 y=x-1 3) y=-3x + 5 5x - 4y=-3 4) -3x – 3y = 3 y=-5x-17 5) y=-2 4x - 3y = 18 6) y = 5x - 7 -3x - 2y=-12 7) y=-3x - 19 5x + 8y = 0 8) y = 5x - 3 -x + 7y=-21
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 =...
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 +...
2. x+4y= 14 2x - y=1 x=2, y=3 3. 5x + 3y = 1 3x + 4y = -6 x=2, y=-3 | 4, 2y- 6x =7 3x - y=9 No solution/Parallel lines