Solve this system of linear equations

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Homework Statement


Solve the following system of equations

Homework Equations


A1 + A3 = 0
cA1 + A2 + A4 = 0
dA1 + cA2 + w^2 A3 = 1
dA2 + w^2A4 = 0

The Attempt at a Solution



https://imgur.com/YSG5oGN - Page 1
https://imgur.com/dGbccsE - Page 2
 

Answers and Replies

  • #2
kuruman
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I checked with Mathematica. Your expressions for A2 and A4 are correct. Your expression for A3 is not.
 
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  • #3
scottdave
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I checked with Mathematica. Your expressions for A2 and A4 are correct. Your expression for A3 is not.
Knowing that, the OP should be able to easily fix A1 and A3.
 
  • #4
kuruman
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Knowing that, the OP should be able to easily fix A1 and A3.
I agree. This particular system lends itself to using Cramer's rule because of all the zeroes on the right hand side.
 
  • #6
symbolipoint
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the system shows two nonlinear equations. Not linear system.
 
  • #7
SammyS
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the system shows two nonlinear equations. Not linear system.
The system is linear in A1, A2, A3, and A4 .
 
  • #8
symbolipoint
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The system is linear in A1, A2, A3, and A4 .
These two equations are shown in the system:
dA1 + cA2 + w^2 A3 = 1
dA2 + w^2A4 = 0
Not linear. That shows an exponent of 2 on the w. If I misunderstand, then w is not a variable; but A1, A2, and A3 must be the variables. If this latter is the case, then yes; linear system.
 

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