Which of the following matrix transformations are one to one? х 129 Х X-7y = 0...
PROBLEMS 7.3 1. Minimize Z= 6x + 14y subject to 14x + 7y > 43 3x + 7y > 21 --x+y> -5 x,y > 0 2. Maximize Z= 2x + 2y subject to 2x - y > -4 x - 2y < 4 x+y = 6 Xy0
Which of the following are linear transformations? f: R3 R2 [x, y, z] [7x - 2y, 0 h R R x > sin x g R2R [x, y] [y- x, 2 the map T R > R< described by reflection in a line L: 2x + 7y = 0 through the origin.
Write the given linear system in matrix form. Assume X = Х у z = -3x + 7y - 92 dx dt dy dt dz dt = 5x - y = 10x + 7y + 3z X' = X + x
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
Given a second order linear homogeneous differential equation а2(х)у" + а (х)У + аo(х)у — 0 we know that a fundamental set for this ODE consists of a pair linearly independent solutions yı, V2. But there are times when only one function, call it y, is available and we would like to find a second linearly independent solution. We can find y2 using the method of reduction of order. First, under the necessary assumption the a2(x) F 0 we rewrite...
Can someone explain how to do this problem?
2. Let f(t, y) — х +у, 0<x< 1, 0 <y<1 < ,Y < !) (a) Find P (X 1 2 (b) Find P(X < 2Y)
Find the standard matrix for the linear transformation T. T(x, y) = (3x + 2y, 3x – 2y) Submit Answer [-70.71 Points] DETAILS LARLINALG8 6.3.007. Use the standard matrix for the linear transformation T to find the image of the vector v. T(x, y, z) = (8x + y,7y - z), v = (0, 1, -1) T(v)
Solve the Dirichlet problem in an infinite strip
uxx + uyy=0
for x ϵ R and 0 <y <b ,
u(x,0)=f(x) ,
u(x,b)=g(x). (Hint: first
do the case f=0. The case g=0 reduces to this one
by the substitution y→ b-y , and the case general is
obtained by superposition)
4. Solve the Dirichlet problem in an infinite strip: uxx + Uyy 0 <у<b, u(x, 0) — S(x), и(х, b) — g(x). (Hint: First do the case The case g...
Consider the vector field F(x, y, z) = 8x^2 + 3y, −5x^2y − 4y^2, 6x^2 + 7y − 8 which is defined on all of double-struck R3, and let F be the rectangular solid region F = {(x, y, z) | 0 ≤ x ≤ a, 0 ≤ y ≤ b, −1 ≤ z ≤ 1} where a > 0 and b > 0 are constants. Determine the values of a and b that will make the flux of F...
Solve the system. 7w + 7x + 7y + 7z = -7 2w + 2x + 2y + 5z = -1 w + 2x + y + 2z = 6 If the system has one solution, enter it below. If the system has infinitely many solutions, enter the solution for which the value of each arbitrary variable is set to 9. If the system has no solution, enter "N" for each variable. w= x= y= z=