Current floor is 3/4 inch plywood subfloor with 1/4" plywood underlayment over that and then linoleum sheet flooring. We had hardwood floor over that but a burst water pipe means a new floor and we are probably going to go for a tile floor. So the hardwood floor is up but as we all know the linoleum will be a bear to get up. Question is can I put 1/4 " cement board backer over the linoleum and then tile? My concern is of course that the linoleum would allow too much movement and cause problems. Any and all thoughts are appreciated.