a) Solve the following simultaneous equations usingmatrix concepts:7x + 4y =105x + 3у%3D7b) Given the alphabetical English letters and theircorresponding codes as:АВСDE F GHIJKLMNOP QR S T U V W X Y Z1 2 3 4 5 6 7 8 910 11 12 13 14 15 16 17 1819 20 21 22 23 24 25 26and using 27 for space,A =2 3Use the encoding matrixmessage: FINAL EXAM.to encode the

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a) Solve the following simultaneous equations using matrix concepts: 7x + 4y =10 5х + 3у 3D7 b) Given the alphabetical English letters and their corresponding codes as: AB C DE F GHIJ KL M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 89 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 and using 27 for space, 1) A = 2 3 Use the encoding matrix to encode the message: FINAL EXAM.

a) Solve the following simultaneous equations using matrix concepts: 7x + 4y =10 5х + 3у 3D7 b) Given the alphabetical English letters and their corresponding codes as: AB C DE F GHIJ KL M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 89 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 and using 27 for space, 1) A = 2 3 Use the encoding matrix to encode the message: FINAL EXAM.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The vector (8, 0, 1) is a solution of the linear system: X1 + 4x2 – 4x3 = 4 5x] + 16х2 — 16х3 — 24 -x1 – 2x2 + 2x3 = -6 O True O False
I. Consider the following linear system: 3x1 + 9x2 + 3x3 = 6 2x1 — 2х1 — 4x2 X3 = 12 = -8 We can view this system as a matrix equation: 3 9 31 0 -1 2 12 -2 -4 Which has the form: Ax X = B To solve the original system, we can solve this equation for X by multiplying by A-1: A-1x (A x X) = A-! × B (A-1 × A) × X = A-1 × B Iz x X = A-1 × B X = A-1 x B Use the bottom equation to solve for X. Find A-1 for the matrix A and solve the original system by using A-1 and Bin the (1) equation below. X = A-1 x B (2] Use the matrix A² you just found to solve the system: 3x1 + 9x2 + 3x3 = 12 2x1 -2x1 – 4x2 X3 = 9 = -3
Please help me, note: I do not want any quotation or plagiarism Note: A=20 (A1 = 2, A2=0) B= 0270(B1=0, B2=2) D=70 (D1=7, D2=0)
Describe the solution set, x = X2, of x₁ +4x₂ - 7x3 = -6 in parametric vector form. Select the correct choice X3 below and fill in the answer boxes within your choice. (Type an integer or fraction for each matrix element.) O A. x= OB. X= O C. x= O D. X=X₂ + +X3 +x₂ +X3 +X3