WorksheetsTest Unit 2 MB2
Total questions: 10
Worksheet time: 5mins
An eigenvector of a square matrix might be zero
True
False
Sometimes
More data are needed
An eigenvalue of a square matrix might be zero
False
True
Sometimes
Maybe
A 2x2 matrix must have two different eigenvalues
True
False
Sometimes
Maybe
How do you determine the eigenvalues of a square matrix A?
Compute Det(A)
Solve (At.A)x=Atb
Compute Det(A-λI)
Compute roots of Det(A-λI)
If A is diagonalizable, then A can be factored into a product
A=P−1.D.P
A=P.D.P−1
A=P−1.D.P−1
A=P.D.P
If A.x=λx where x is not the null vector, then x is an eigenvector of A.
True
False
Maybe
Sometimes
A square matrix A of order n with n different eigenvalues is
Not diagonalizable
Diagonalizable
Not invertible
Invertible
If the vector v is an eigenvector of matrix A, then cv is also an eigenvector.
True
False
Maybe
Sometimes
If λ is an eigenvalue of matrix A, then linear system (A-λI)v=0 has only trivial solution.
True
False
Ooh! Good question!
LoL
A quadratic form is PSD, then if we classify that quadratic form restricted to a particular vector subspace could be...
None enough information
PD or PSD
Always PSD
PSD or IND
