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}.

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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}.

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3
Q

What does the matrix A to the power of 0 give you?

A

The identity matrix.

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