How solve equations about projection matrix

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I'm read book about Computer Graphics with OpenGL (4th ed.) these formula come from Normalized Perspective-Projection

perspective-projection transform to normalized perspective-projection

there are matrix

there are three equations:

there are three equations

and the book gives the parametric answer directly

there are four parameters: there are four parameters

I can only figure out S_z,I can't solve the equation for the other three parameters, who can give the detailed procedure of solving the equation

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