My answers. Some of these may be wrong.
1) 3root22/2
2)detb =-1/32 (cant remember exactly)
3)-7(a-4)(a+1)(cant remember third factor)
4)z= 17/4 a
x =-11/6 a
Y= cant remember
5) p=-11
Lambda =2, -2,7
6) y=3/2 x -2
All lines of the form y=3/2 x +k are invariant lines (edit: I believe this is wrong)
7) k = 1/8
T2: rotation 150° about y-axis
8) k=+-1
When k =1, two parallel planes, intersecting third plane
When k=-1, planes form a triangular prism.