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Moderate

Eigenvalues After Scalar Multiplication

LINALG-XUZ99L

Let $A$ be a square matrix. If $\{\lambda_1,\dots,\lambda_r\}$ are the eigenvalues of $A$ and $B=2 A$ then the eigenvalues of $B$ are:

A

$\lambda_1+2,\dots,\lambda_r+2$

B

$2\lambda_1,\dots,2\lambda_r$

C

$\frac{\lambda_1}{2},\dots,\frac{\lambda_r}{2}$

D

$\lambda_1,\dots,\lambda_r$