I am presently enrolled in a course for Linear Algebra with reference book of Linear Algebra and its application from Gilbert Strang, The book is

I am presently enrolled in a course for Linear Algebra with reference book of Linear Algebra and its application from Gilbert Strang,

The book is easy to understand and explains the concept very well, however, I am a below average student and need a lot of practice with exercises and problems before being able to solve questions on my own. My course quiz and assignments thus far have had a lot of proof based questions which i find difficult, as the answer appears obvious or intuitive but i find it difficult to write it with proof by contradiction or otherwise.

The aforemention book doesn't have many lemmas or proofs or theorem based questions to practice but more numerical s ,

Kindly help me with any reference material for Linear algebra with conceptual proofs or derivations as exercise to practice with solution manual for reference.

I am presently studying through Linear Algebra and its application by David C Lay, but again, the issue remains.

Pse Help