![X=AR VE De eigenvalue &i=1+31 Ta] [2 V2 - eigenvalue 8₂=1-31 2-31 ř (t) = a (1+3ilt 2tzi tu -1 (1-3i)t 2-3 i X(t) = et - -C](http://img.homeworklib.com/questions/8f684580-f77d-11ea-845e-218aea5ffccb.png?x-oss-process=image/resize,w_560)

vi = [ats for eigenvale 1=1+3i uj = (2-3: for eigenvale 12=1-3i A) what is the...
Find R and angle. Z1 =8+3i, Z2 =2+3i,
Z3 =9-((2)^1/2 )i.
(vi) z = TEM (vii) 2 = 22 + 231
I got part a to be 1 and .92
1. Given the following matrix A- 05 .97 a. calculate the eigenvalues by using RStudio. b. calculate the integer values of the eigenvectors, vi and v2 by hand only calculate the weights ci and c2, such that: c. given x d. Calculating the long-term behavior of a dynamic system: Remembering, in general Ax Ax fill in using ci and c2, the eigenvalues λ1 and λ2 and vectors vi and v2. e....
1. Simply the following in the form x + iy (a) 3-3i)-4+3i) (-1-1) (b) 3-3i)(-4+3i) (1-)(41 (c) 3-3i)4+(-4+3i)2 (1-i)4(4i)3
Let A = [2-3i 3 + 2i [ 5 - 1+i –1 + i 21 1-11 -1-il -2 ] The set of solutions to the equation Ax = 0 is 22 = [Select] 23+ [Select] 21
.95 .03 L,05 .97 1. Given the following matrix A- a. calculate the eigenvalues by using RStudio. b. calculate the integer values of the eigenvectors, vi and vz by hand only. c. given Xoc d. Calculating the long-term behavior of a dynamic system: 6 4 , calculate the weights ci and c2, such that: Remembering, in general Ax Ax vezton viand s e. What happens to the system as k>o
.95 .03 L,05 .97 1. Given the following matrix A-...
Find the complex numbers w and z which solve the system of equations (-1+i)w + (-2-3i)z = -12 - 3i (-2+3i)w +(-1+i)z = 0 +10i (Hint: Check your solution by substituting back in)
#1,5,9 and #13,17,21,25 please.
In Exercises 1-12, graph each complex number in the complex plane 3. -2 4i 2 2. 3 5i 7.-3i 8.-5i 6. 7 47 19 7 15 2 11 2 12. 10 10 each complex number in polar form 15. 1 V3i 14. 2 + 2i 16. -3- V3i 3. 1-i 20. -V3+i 18. V5_V5İ 19. V3-3i 17-44i 24. -8-8V3i 22. 2 + Oi 2 23, 2v3-2i 21. 3 +0i V3 1 1 V3 28·16+161 26, 1...
help me with these two probability questions.
12. (3 points) Let f(x) = kx3 +2 -1 for 0 <3 <1, and f(2)= 0 for [0, 1], where k is some unknown constant. What value of k will make f a valid probability density function? A. 1/4 B. 1/3 C. 1 D. 2 -xel + Ž - 1=1 | LEH , E = Ž- at zlik Ks6 나 E. 4 F. 6 G. No such value of k exists + C....
Problem II. 1 (5 points). Let vi db Let A - ( Vy val, which is a 4 x 3 matrix. LA V - Spani. V vs). (1) Find the general least squares solution of Ax - b, with x - x 12 " ER (2) Calculate min{ lb - 2 :26V), the minimum value of b - z for all z EV. Hint. For part (2), you need to understand the significance of least squares solutions.
1. Consider the system 2(t)--3i(t) +z2(t) +3() (a) (i) Find the linearised system at the equilibrium point (0, 0). (ii) What type of equilibrium point is (0,0)? (State your reasons fully.) (ii) Sketch the phase portrait for the linearised system near (0,0). (b) Repeat part (a) for the equilibrium point at (1,0). (c) (i) Are there any other equilibria? (ii) Read the Grobman-Hartman theorem and confirm that it applies to the above equilibria.
1. Consider the system 2(t)--3i(t) +z2(t) +3()...