2. Consider the following matrix100140A1=03A2 = 1 1 1,A3=10 -1 3(a) Find the eigenvalues and eigenvectors of each matrix in (2).1 100101 2 3(2)(b) Find the modal matrix M and diagonal each matrix (2) through similarity transforma-tion. Which matrix in (2) will lead to the Jordan form?

Step 1: Step 2: Step 3: Step 4:

Answered: 2. Consider the following matrix 10 0…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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I am trying to find a Direction Cosine Matrix (DCM) for the Euler angle body 1-2-3 sequence. I tried making my own function and using the MATLAB function, but the result is a matrix that is transpose of each other. I mean that transpose(EA123toDCM) = E123toDCM. Why is that? Also, for the E123toDCM line, I am using the sequence 'ZYX'. Is that correct or should it be 'XYZ'? I know that that for a DCM of sequence 1-2-3 = R3(theta1)*R2(theta2)*R1(theta3). Is ZYX sequence the same as a 1-2-3 sequence? EA = [pi/3; -pi/4; -pi/6];EA123toDCM = EA123DCM(EA) E123toDCM = angle2dcm(EA(1,1), EA(2,1), EA(3,1), 'ZYX') function [R] = EA123DCM(EA) theta1 = EA(1,1); theta2 = EA(2,1); theta3 = EA(3,1); R1 = @(a)[1 0 0 ; 0 cos(a) -sin(a); 0 sin(a) cos(a)]; R2 = @(a)[cos(a) 0 sin(a) ; 0 1 0 ; -sin(a) 0 cos(a)]; R3 = @(a)[ cos(a) -sin(a) 0; sin(a) cos(a) 0;…
Part b
4
c) Calculate the equations of internal shear force V(x) and bending moment M(x). Type the mathematical expressions or constants, following the defined sign convection. Section AB: Internal shear force equation: V(x) = Internal bending moment equation: M(x) : Section BC: Internal shear force equation: V(x) Internal bending moment equation: M(x) = = N N N*mm N*mm
Q5
The dependence of the tensions t (units: N) in a structure on the external forces f (units: N) follows the linear system Ct=f, where both t and f are 5 by 1 column vectors. The coefficient matrix C has been determined to be [ 11 14 20 -5 -19 ] -5 7 -3 5 -6 4 -5 13 -2 -10 0 0 0 12 -10 0 0 0 0 14 By how many N would the external force f2 need to be decreased (while all other external forces stay the same) in order to decrease the tension t3 by 94 N?
2. For the circuit below, utilize only the node-voltage method: Vb + V1 R1 3la + R4 ww Va R3 V2 V3 ww R2 R5 RE Setup the equations needed to solve for V1, V2, and V3. Please also include an expression to solve for current Iд.
Two cables AB and AC are acting on the pole with forces FAB=540N and FAC = 560N with parameters defining the attachment points shown in the table. We want to write the vector AB in cartesian vector form. C Y₂ parameters value units 540 560 5.5 4 3.5 FAB FAC L Z1 Y 72 4 4 Submit Question N N m m m m m A x + 247.123 Y₁ write the vector FAB in Cartensian Vector Notation. Round your final answers to 3 significant figures. FAB= 282.427 Z B xj+-388.337 N
2- Derive the rule-of-mixtures expression for the composite extensional modulus E₁ assuming the existence of an interphase region. The starting point for the derivation would be the model shown below. For simplicity, assume the interphase, like the matrix, is isotropic with modulus E¹. With an interphase region there is a volume fraction associated with the interphase (i.e.,V;). For this situation: vf + vm + vi = 1 H |w²||wm|
Q5/ A beam with a length L is attached to the wall with a cable as shown. A load W = 400 lb. is attached to the beam. The tension force, T, k in the cable is given by: T = WL√h²+x² hx For a beam with L= 120 in. and h = 50 in. calculate T for x = 10, 30, 50, 70, 90, and 110 in. MATLAB D W
Q1 Use Matlab to find the roots of the following polynomials: (a) P₁ = 2s5 — 4s² + 3s³ − 2s² + 3s + 5 (b) P2 =S s6 + 5s³ s² + 10 -
Please solve step by step

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