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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
Knowing that, the OP should be able to easily fix A1 and A3.I checked with Mathematica. Your expressions for A2 and A4 are correct. Your expression for A3 is not.
I agree. This particular system lends itself to using Cramer's rule because of all the zeroes on the right hand side.Knowing that, the OP should be able to easily fix A1 and A3.
Here is your Page 1: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
The system is linear in A_{1}, A_{2}, A_{3}, and A_{4} .the system shows two nonlinear equations. Not linear system.
These two equations are shown in the system:The system is linear in A_{1}, A_{2}, A_{3}, and A_{4} .
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.dA1 + cA2 + w^2 A3 = 1
dA2 + w^2A4 = 0