Question: Would you please see if you can provide step-by-step solutions for the problem that I attached?I want to gain a greater understanding of the process

Would you please see if you can provide step-by-step solutions for the problem that I attached?I want to gain a greater understanding of the process so that I can teach myself how to solve similar problems? Thanks

#24 ECON (M) PS10 Consider y1 = Biz1 + Boyz + e, y/2 = 12z + U2, where yz is the suspected endogenous variable and z is the vector of all exogenous variables. Assume that z has at one more element than 21. Consider an alternative estimator of (81, 82): (a) estimate the reduced form by OLS, and save the residuals, u2; (b) estimate the following equation by OLS: 3/1 = Biz1 + Boyz + Bguz + error. Show that the OLS estimates of 8, and B2 from this regression are iden- tical to the 2SLS estimator using instruments z. Use the partitioned regression algebra of OLS (see sections 3.16-3.18 in Hansen, 2021). You must also use the fact that 2, and uz are orthogonal in the sample

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