A matrix A such that tr(A^2) = 4, tr(A) = 2, then det(A^2)
Added by Nicole M.
Close
Step 1
First, we know that tr(A) = 2, which means the sum of the diagonal entries of A is 2. Show more…
Show all steps
Your feedback will help us improve your experience
Keerti J and 82 other Calculus 3 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
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 $.$
find $\bar{A}, \operatorname{Re}(A), \operatorname{Im}(A), \operatorname{det}(A),$ and $\operatorname{tr}(A)$. $$A=\left[\begin{array}{cc} 4 i & 2-3 i \\ 2+3 i & 1 \end{array}\right]$$
Eigenvalues and Eigenvectors
Complex Vector Spaces
Show that $$ \operatorname{det}(A)=\frac{1}{2} \operatorname{tr}(A) \quad 1 $$ for every $2 \times 2$ matrix $A$
Determinants
Determinants by Cofactor Expansion
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD