I am taking linear algebra courses in this semester. I wanted to start my study but I stuck with these basic proofs:
e.g.
- Determinant of block diagonal matrix $\det \operatorname{diag} (A,B)$ is $(\det A)×(\det B)$
- Interchanged two row changes sign of the determinant.
- The same two row means determinant is zero(it follows from above one)
- Understanding the definition nxn matrices' determinants.
- etc...
I assumed that I can clear all the proofs like these but these theorems somehow are consisted in each other. Therefore, I want to study all of them in a logical sequence. Can one advise me some kind of book/source ? I searched some but they did not satisfy me.