Yes provided the linoleum is still sound (no large sections missing, well adhered to the floor, etc)
you have to pull the linoleum up to lay tile. . .i would suggest a cement backer board over the existing plywood also
No, you do not.
It is generally not a recommended procedure. The abrasion of carpet on carpet will cause both layers to wear prematurely. Certain types of glue down carpet can be installed over existing glue down carpet. Check the manufactures installation instructions. I do agree that installing stretch in carpet over existing stretch in carpet is not a good idea.
As long as the existing flooring is in good shape meaning not cracking or peeling then that's the best, easiest and most cost effective installation.
If it is down good and you are nailing the Bamboo, YES if you are glueing it, I dont think so & would make the manufacturer put it in writing before I did!
every manufacturer would tell you NO will void every warrentee ! is your new Lino full glued or the newer floating type Lino/vinyl ?
If you're the homeowner: YES YOU CAN. you will need to level any embossment prior to installing over new linoleum or other sheet goods. NO YOU CAN'T or shouldn't if wet flooring is beneath original linoleum. If it's a rental it doesn't matter.
Haven't got a clue! Haven't got a clue!
Yes - the heat will simply radiate through whatever is placed on it.
Tile is an insulator. If the tile is placed correctly over an existing wood floor and is sealed with grout, it will insulate the room it is in.
It is possible to do but not a recommended practice Carpet tiles are designed to be installed over a stable surface. Even if you use one of the solvent based outdoor adhesives there will be some movement of one carpet against the other. This abrading will result in premature separation of the layers and you will be constantly trying to re adhere sections of the floor as they come loose. The best procedure is to remove the existing carpet, prep the surface & then install the tiles.
Either way, there is a metal strip available that has a groove in one side for the tile and a lip that goes over the carpet. The most common brand name for these metal strips is Schluter.