I actually suggest finding a book about a topic that actually makes use of linear algebra , since the intro chapters will actually explain the core concepts in

I actually suggest finding a book about a topic that actually makes use of linear algebra , since the intro chapters will actually explain the core concepts in a way that is actually useful. For me, linear algebra didn't click until I read "Numerical Linear Algebra" by Trefethen & Bau. The first 4-5 sections have great explanations of matrix vector operations. Other than that, the most popular linear algebra book that actually gets things right is "linear algebra done right" by Sheldon Axler. Edit: ah, forgive me, didn't notice you said "first time". In that case the Axler book is a safe bet, just be diligent doing the exercises.