Face recognition code help

Hello I am implementing a new approach for face recognition and part of the code is

r1=(1,0,0,0…….0)
then calculate r1,r2,….,ri+1
r2=r1U-t21r1-t22r2,
r3=r1U-t11r1
.
.
.
ri+1=riU-(summation)tij*rj, i,j=1,2,.....,m

where m is the 92

Secondly a symmetric matrix consisting row elements z1,z2,....zm

zm=ri+1
zm-1=zm*U-Um,m * zm
.
.
.
zi=(zi+1*U-ui+1,i+1*zi+1,.....,-um,i*zm)
i=m-1,m-2,....,3,2,1

Z=[zm,zm-1,.....z1]'

I am attaching an image where the algorithm is properly displayed

I will really appreciate if I can get a help on this part of code and also finally I should be able to calculate the determinant of Z

Thank you very much in advance Best regards, Anupam