16-17: Matrices, eigenvalues & eigenvectors Flashcards
1
Q
When is a matrix A symmetric?
A
When it equals its transpose matrix. So A = A^T, a_{ij} = a_{ji}.
2
Q
When is a matrix A skew-symmetric/anti-symmetric?
A
When A equals the negative of its transpose matrix. So A= - A^T, a_{ij} = - a_{ji}.
3
Q
What does the matrix A to the power of 0 give you?
A
The identity matrix.