Test Unit 2 MB2

An eigenvector of a square matrix might be zero

An eigenvalue of a square matrix might be zero

A 2x2 matrix must have two different eigenvalues

How do you determine the eigenvalues of a square matrix A?

A square matrix A of order n with n different eigenvalues is

If the vector v is an eigenvector of matrix A, then cv is also an eigenvector.

If λ is an eigenvalue of matrix A, then linear system (A-λI)v=0 has only trivial solution.

A quadratic form is PSD, then if we classify that quadratic form restricted to a particular vector subspace could be...