$24\mathrm{.}06\mathrm{.}2022$

A levelling network was set up around an area proposed for the construction of a building. The network is as shown. Use Least squares to compute the elevations of $x,Y$ and Z $.$ Compute the residuals of the level lines and the corrected observations. USE MATRICES.

$(30$ marks$)$

$3$

$00$M

$100\mathrm{.}00$M

$\backslash$table$[[,N(m),E(m),$Line,Difference in elevation $($m$)],[$A$,1411\mathrm{.}574,7991\mathrm{.}972,1,+1\mathrm{.}02],[$B$,3841\mathrm{.}645,9168\mathrm{.}215,2,-0\mathrm{.}95],[$X$,2445\mathrm{.}070,10808\mathrm{.}333,3,+1\mathrm{.}96],[$Y$,2671\mathrm{.}188,7087\mathrm{.}379,4,-1\mathrm{.}99],[$Z$,3700\mathrm{.}826,8178\mathrm{.}180,5,-0\mathrm{.}04],[,,,6,+0\mathrm{.}05]]$

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