Complexity Explorer Santa Few Institute

Vector and Matrix Algebra

Lead instructor: Anthony D. Rhodes

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When you are finished, clicking the "Score" button at the bottom of the test will show you the correct responses.

Question 1: Let

$A=\begin{bmatrix} 2 & 1 \\ 0 & -1 \end{bmatrix}$ .

Find the eigenvalues of A.
Answer 1: A. $\lambda=2, -1$
Answer 2: B. $\lambda=2, 2$
Answer 3: C. $\lambda=-1, -1$
Answer 4: $\lambda = 2,3$
Question 2: Let

$B=\begin{bmatrix} 1 & -2 \\ 1 & 4 \end{bmatrix}$ .
Find the eigenvalues of B.
Answer 1: A. $\lambda=2, -1$
Answer 2: B. $\lambda=2, 2$
Answer 3: C. $\lambda=-1, -1$
Answer 4: D. $\lambda = 2,3$