To do this, we can set up a system of linear equations:
For $b_1 = 1$:
$$c_1 C_1 + c_2 C_2 = b_1$$
For $b_2$:
$$c_3 C_1 + c_4 C_2 = b_2$$
Now, we can solve these systems of equations to find the coefficients $c_1, c_2, c_3, c_4$. Once we have these
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