-44Express the matrix equation x=D5as a system of linear equations and solve.-y6.Choose the correct system below.O A. 4x+4y=205x-7y 30O B. 5x+7y% = 204x-4y 30C c. 5x+4y= 204x-7y 30O D. 5x-7y= 204x+4y 30Solve the resulting system of equations.(Type integers or simplified fractions.)

Given a matrix equation, x54-y-47=546 Then the corresponding system of linear equations are,…

4 Express the matrix equation x -y =5 as a system of linear equations and solve. 4 Choose the correct system below. O A. 4x+4y= 20 5x-7y 30 O B. 5x+7y= 20 4x-4y 30 c. 5x+4y = 20 4x-7y 30 O D. 5x-7y 20 4x+4y 30

4 Express the matrix equation x -y =5 as a system of linear equations and solve. 4 Choose the correct system below. O A. 4x+4y= 20 5x-7y 30 O B. 5x+7y= 20 4x-4y 30 c. 5x+4y = 20 4x-7y 30 O D. 5x-7y 20 4x+4y 30

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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Question

-4
4
Express the matrix equation x
=D5
as a system of linear equations and solve.
-y
6.
Choose the correct system below.
O A. 4x+4y=20
5x-7y 30
O B. 5x+7y% = 20
4x-4y 30
C c. 5x+4y= 20
4x-7y 30
O D. 5x-7y= 20
4x+4y 30
Solve the resulting system of equations.
(Type integers or simplified fractions.)

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Solve the linear system corresponding to the following augmented matrix: 3 6 24 2 3 11 O A. (0,0) OB. (-2,-5) O C. (5,-2) O D. (-2,5)
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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
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