Question
Characteristic values of the matrix $\left(\begin{array}{ccc}1 & 2 & 2 \\ 0 & 2 & 1 \\ -1 & 2 & 2\end{array}\right)$ are(a) $1,2,2$(b) $4,1,0$(c) $-2,6,1$(d) none of the above
Step 1
The characteristic equation is obtained by setting the determinant of the matrix subtracted by lambda times the identity matrix equal to zero, i.e., $|A - \lambda I| = 0$ where $A$ is the given matrix and $I$ is the identity matrix of the same order. Show more…
Show all steps
Your feedback will help us improve your experience
Anas Venkitta and 86 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Characteristic values of the upper triangular matrix $\mathrm{A}=\left(\begin{array}{ccc}5 & 4 & -7 \\ 0 & -3 & 1 \\ 0 & 0 & 6\end{array}\right)$ are (a) $2,5,1$ (b) $5,-3,6$ (c) $5,4,-1$ (d) $-7,-3,0$
Which one of the matrices below has non-real characteristic values? (a) $\left(\begin{array}{ll}1 & 1 \\ 1 & 2\end{array}\right)$ (b) $\left(\begin{array}{ll}0 & -4 \\ 1 & -7\end{array}\right)$ (c) $\left(\begin{array}{ll}1 & 1 \\ 3 & 5\end{array}\right)$ (d) $\left(\begin{array}{cc}3 & -1 \\ 7 & 0\end{array}\right)$
If $A$ is $2 \times 2$ matrix such that $A^{2}=O$, then $t r(A)$ is (a) 1 (b) $-1$ (c) 0 (d) none of these $.$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD