Let\

ZinR^(n\\\\times n)

with\

z_(j,j+1)=1

for\

1

and all other elements being zero.\ What is\

Z

?\ Nilpotent\ Idempotent\ Unit triangular\ Strictly triangular\ None of the above\ What is\

Z^(T)Z

?\ Nilpotent\ Idempotent\ Unit triangular\ Strictly triangular\ None of the above

Let ZRnn with zj,j+1=1 for 1jn1 and all other elements being zero. 1. What is Z ? Nilpotent Idempotent Unit triangular Strictly triangular None of the above 2. What is ZTZ ? Nilpotent Idempotent Unit triangular Strictly triangular None of the above