Calculating the frequency response of filter with a matrix

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To calculate the frequency response of a filter using a matrix in Matlab, the frequency response is defined as the ratio of Vout to Vin, specifically v3 to v0. The challenge lies in incorporating the unknown frequency into the existing 7x7 matrix derived from previous equations. While replacing resistor values with corresponding impedances is an option, it complicates the calculation due to the variable frequency. The discussion suggests that computing the frequency response at multiple frequencies—such as 10, 100, or even 1000—can provide a comprehensive graph using the same foundational equations. Sharing the derived equations is recommended for clarity and collaboration.
Dethoven
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Homework Statement


This is actually part 3 of the question. Part one was to form 7 equations to form a 7x7 matrix, part 2 was to solve it, which I've done. This question is to be done with Matlab, by the way.
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Part 3:
gK7ACJv.png


Homework Equations


Frequency response = Vout / Vin.

The Attempt at a Solution


I know the frequency response is the ratio of Vout and Vin, in this case, v3 and v0, I'm not sure how to incorporate that with the matrix I have. I could replace the resistor values with the impedance of the corresponding elements, but since the frequency is unknown, that wouldn't work. I've calculated frequency responses before, but that was for simpler circuit in which I could use the potential divider formula.
 
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calculating the frequency response at one frequency would get you one one point of the graph.
What if you compute 10 different frequencies?
What if you compute 100?
or 1000?

you can still use the same equations you used for the previous parts.

By the way you might want to show everyone the equations you got
 

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