Let ? and ? be two parameters. Write the equation system x1 - s = –x3 3x3 + 3x1 = –x2 rx3 + x2 = x1 on the form: b) We look at the equation system above. i) Calculate it (A) and show what value r must have for the equation system to have exactly one solution. ii) Show what values r and s must have for the system of equations to have infinitely many solutions. iii) Show what values r and s must have for the equation system to have no solution. c) Let F, G and H be three n × n matrices. Solve the following equation with respect to X, when it is known that the matrix F - G2 is invertible. F(F + X) = G2(X + H)
Let ? and ? be two parameters. Write the equation system x1 - s = –x3...
I will show the whole task here. I need a solution for task C C. let F, G, and H be three n x n matrices. Solve the following equation with consideration on X, when it is known that matrix F – G2 is invertible. F(F+X) = G2(X+H) 5. let t and r be two parameters. a. Write the equationssystem X-S=-X3 3x3 + 3x1 = -X2 rX3 + x2 = X1 On the form: i) A x= ii) 7. x1...
3) Let (x, y), (X2, y2), and (X3. Y3) be three points in R2 with X1 < x2 < X3. Suppose that y = ax + by + c is a parabola passing through the three points (x1, yı), (x2, y), and (x3, Y3). We have that a, b, and c must satisfy i = ax + bx + C V2 = ax + bx2 + c y3 = ax} + bx3 + c Let D = x X2 1....
Determine whether the system is consistent 1) x1 + x2 + x3 = 7 X1 - X2 + 2x3 = 7 5x1 + x2 + x3 = 11 A) No B) Yes Determine whether the matrix is in echelon form, reduced echelon form, or neither. [ 1 2 5 -7] 2) 0 1 -4 9 100 1 2 A) Reduced echelon form B) Echelon form C) Neither [1 0 -3 -51 300 1-3 4 0 0 0 0 LOO 0...
Write the system of equations as a matrix equation of the form AX = B. X1 - 2x2 + 3x3 = - 4 - 2X1 + 4x2 = 1 X1 + X2 + 3x3 = - 3 X1 X2 = X3 (Type an integer or decimal for each matrix element.)
(1 point) Solve the system x +x2 x2 +x3 X1 +X4 X1 X2 X3 X4 +s
Suppose that X1, X2, X3 and X4 are independent Poisson where E[X1] = lab E[X2] = 11 – a)b E[X3] = da(1 – b) E[X2] = X(1 — a)(1 – b) for some a and b between 0 and 1. Let S = X1 + X2+X3+X4, R= X1 + X2 and C = X1 + X3. (a) Find P(R = 10) (b) Find P(X1 = 6 S = 16 and R= 12). (c) Suppose we want to condition on the...
Let x = [X1 X2 X3], and let T:R3 → R3 be the linear transformation defined by x1 + 5x2 – x3 T(x) - X2 x1 + 2x3 Let B be the standard basis for R3 and let B' = {V1, V2, V3}, where 4 4. ---- 4 and v3 -- 4 Find the matrix of T with respect to the basis B, and then use Theorem 8.5.2 to compute the matrix of T with respect to the basis B”....
2. Write the solution of the linear system -X1 – 24 +225 = -2 3x1 + x2 + 2x3 + 4x4 – 25 = 1 421 – x2 + x3 + 2x5 = 1 in the form x = Ep + Xh where xp is a particular solution and Xh is a solution of the corresponding homogeneous system.
Problem #5 -- Consider the following linear programming problem: Maximize Z = 2x1 + 4x2 + 3x3 subject to: X1 + 3x2 + 2x3 S 30 best to X1 + x2 + x3 S 24 3x1 + 5x2 + 3x3 5 60 and X120, X220, X3 2 0. You are given the information that x > 0, X2 = 0, and x3 >O in the optimal solution. Using the given information and the theory of the simplex method, analyze the...
Write the given system of equations as a matrix equation and solve by using inverses. -3x, + X2 = k1 7X, - X2 + Xz = K₂ + z = k3 3x1 a. What are xy, X2, and X3 when ky = - 9, ky = - 4, and kz = 8? = X1 X2 X= b. What are X7, Xy, and Xz when k, = -10, ky = 10, and kz =5? X1 = X2 = Xz = c....