Matrix Terms Flashcards
1
Q
Invertible Matrix
How to know if A^{-1} exists?
- no non-zero solutions to Ax=0
- columns are linearly independent (LI) of A
A - [ | | | ] = \alpha_1[] + \alpha_2 … !=0 - rows of A are LI
- Det[A] !=0
- unique solution to Ax=B
- all eigenvalues are nonzero, means invertible
- nonsingular = invertible
A
How to know if A^{-1} exists?
