Solve the following: (Show all details)1. Let matrices beГО 21C = 2 4li 3][0-5 -3]11D = |-4 7L-8 3.4][6A = |-1 22B = |-5244.L-34[-4.5]v =| 0.8u = |01.2.Find the following expressions or give reasons why they are undefined.i. C+ D, D + C, 6(D-C), 6C-6Dii. A + C-D, C-D, D-C, B + 2C + 4Diii.33u, 4v + 9u, 4(v + 2.25u), u-v

Given, A=304-122654B=0-5-3-524-340C=022413D=61-47-83u=20-1v=-4.50.81.2 The order of the matrix is…

Solve the following: (Show all details) 1. Let matrices be 0 4] B = |-5 [o 2] C = 2 4 li 0. 6. D = |-4 -5 -31 A = |-1 2 2 4 7 .6 5 4] -3 4 3] 8-1 3. -- --A 2 -4.5" v = | 0.8 . 1.2 u =|0 Find the following expressions or give reasons why they are undefined. i. C + D, D + C, 6(D-C), 6C-6D ii. A + C-D, C-D, D-C, B+ 2C + 4D iii.33u, 4v + 9u, 4(v + 2.25u), u-v

Solve the following: (Show all details) 1. Let matrices be 0 4] B = |-5 [o 2] C = 2 4 li 0. 6. D = |-4 -5 -31 A = |-1 2 2 4 7 .6 5 4] -3 4 3] 8-1 3. -- --A 2 -4.5" v = | 0.8 . 1.2 u =|0 Find the following expressions or give reasons why they are undefined. i. C + D, D + C, 6(D-C), 6C-6D ii. A + C-D, C-D, D-C, B+ 2C + 4D iii.33u, 4v + 9u, 4(v + 2.25u), u-v

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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Q1 A three-level offshore platform located in the Helang Oilfield area has a 1500 kg floor steel grating supported at each level. The structure sometimes is subjected to a vertical ocillation movement during rough sea waves given by function of y(t) = Y sin wt. If the steel grating only moves in the vertical direction and is supported by one equivalent spring and damper at each steel grating pole level with stiffness, k1 = (300 x 4) N/m, k2= (200 × 4) N/m and k3= (100 x 4) N/m while damping, c= (15 × 8) Ns/m, c2 = (10 x 8) Ns/m and c3 = (5 × 8) Ns/m, respectively, as simplified in Figure Q1. Neglect the effect of gravitational force. (a) Sketch a free body diagram for each steel grating that includes the mass's action and reaction forces. (b) Determine the equation of motion in a matrix form using Newton's second law, [m]ÿ + [c]ý + [k]y = F. (c) By omitting the damping and external force parameter, deduce and express the general solution in the form of ([k] – w?[m]D{Y} = 0.
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