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Eigenvalues

10 practice questionsLinear AlgebraStep-by-step solutions

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1

The sum of the eigenvalues of a square matrix equals its:

A.Determinant
B.Trace
C.Rank
D.Norm
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2

If Av = λv with v ≠ 0, then λ is called a(n):

A.Eigenvalue
B.Determinant
C.Trace
D.Pivot
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3

Find the eigenvalues of A=(1245)A = \begin{pmatrix} 1 & -2 \\ 4 & -5 \end{pmatrix}.

A.λ=2, 0\lambda = -2,\ 0
B.λ=3, 1\lambda = -3,\ -1
C.λ=3, 1\lambda = 3,\ 1
D.λ=4, 3\lambda = -4,\ 3
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