1. (Using matrices) Determinethevaluesofksothatthefollowingsystemhas: i)auniquesolution ii)nosolution iii)aninfinitenumberofsolutions

kx + y + z = 1 x + ky + z = 1

x + y + kz = 1

Normally the "k" is only on one line or one colum which makes it easy to eliminate it by row reduction. In this case, no matter how many elementary row operations I try, I just get a bigger mess of "k"s.