512 Chapter 6
Matrices and Determinants
37. √2x + √3y = 4
√18x - √12y =-3
41. x- 2y = y2
½x- y = 2
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 =...
Determine if the following pairs of lines are parallel, perpendicular or none. a) 2x + 3y = 6 3x - 2y = 6 b) y = 2x + 3 x = 2y + 3 c) x = -2 - 3y 2x + 6y = 5
(4, -1,2) 2x + 3y - z = 3 x + y - z = 5 10x – 2y = 3 SHOP Supa lo color (4, 1) ) boda e 3x - 5y = 7 2x + 2y = 10
4x - 162= 56 2x - 3y - 3z = 31 2x+ 2y - 3z = 1 2x + 2y + 2z = - 14 Select the correct choice below and, if necessary, fill in the answer boxes to complete your ch O A. 16 x= 4, y = 3.za 2 (Type integers or fractions.) OB. X=ry Z= (Type integers or tractions.) OC. There is no solution
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
1. (10 points) Solve each of the following systems by graphing: 2x + 3y = 6 3x - 2y=6 4x=-6y +12 x-4y=-8 -6 -6 5 4 5 -4. 3. 2 3. -6 -5 4 3 2 1 1 2 3 -6 5 4 -3 -2 -1 1 21 31 4 5 6 1 4 -6 -6 2. (10 points) Solve each of the following systems: (3x - 5y = 11 2x-6y=2 y = 3x + 5 5x-2y=-7)
5. For the system, 4x + y + 2z = 1 2x + 3y + 4z = -5 x – y +3z = 3 Find the rank of the coefficient matrix by calculating the determinant. Use Cramer's theorem to find the solution of this system. (10 points) 6. Find the inverse of the following matrix using Gauss-Jordan method. Verify your result by computing the inverse using the method of determinants. (10 points) 1 2 4 2 4 2 1] 1...
Name: Fased Al Hamvn own EE201 Quiz4 Solve the equations: 20p-23 Solutions: xy (2) 4x+3y-11 2x-y 3 Solutions: x= 1 , ys.⑦ x+y=6 7x-y=10 x-3 yー2 +, y,6 Solutions: , x-2y + 3z = 2 0 Solutions: x 2x-y+3z 5 x+3y-2z =-1 (5) Solutions: x- , y= , z=
4. Co ider dĀ, where R is the parallelogram enclosed by the lines x-3y=0, x-3y=4, 2x-y=2, Å 2x - y and 2x-y=7. Fill in the boxes: Let u=x-3y, and v= 2x - y. Then in terms of u and v, we can set up the PX - 3 ingen i 19 = 3/d2=SHH dvdu. (You do not actually evaluate the integral.) dvdu van de integral as: JJ 2 actually salane te imeni)
(1) Use Euclid's algorithm to determine the HCF of 126 and 366. Give details of your working for each step. (2) Solve the following linear simultaneous equation using determinants (you must calculate Ao, A, and Ay): 2x + 3y = 20 x – 2y = -4 (3) Salvesta koying line (3) Solve the following linear simultaneous equation using determinants (you must calculate Ao, Ar, Ay and Ax): 2x + 3y – 4z = 17 x – y +z = -3...