Linear Algebra books that also covers multilinear algebra I want self-studying linear algebra but I also want to know what tensors are. I don't see any books that cover both linear and multilinear algebra (tensors are part of multilinear algebra right?). So if there are any books that do would be great. I don't mind that the books being "theoretical" i.e.,proof-theorem style books without many(or any) application since I want to really develop my intuition behind the subject.

One book you could use would be Lectures in Geometry, Semester 2: Linear Algebra and Differential Geometry, by Postnikov. It's the second volume in his six-part series Lectures in Geometry.
This might not be a good book to learn linear algebra from by itself, as there are no exercises and some important topics are omitted. It's really focused on what's needed for differential geometry. But it could supplement another book well.
