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[a b] c d 3: Let A = be a singular matrix with trA = 4. Find all eigenvalues of A. Hint: Think about how determinant and trace are related to eigen- values.

[a b] c d 3: Let A = be a singular matrix with trA = 4. Find all eigenvalues of A. Hint: Think about how determinant and trace are related to eigen- values.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem 3**: Let \( A = \begin{bmatrix} a & b \\ c & d \end{bmatrix} \) be a singular matrix with \( \text{tr} A = 4 \). Find all eigenvalues of \( A \). **Hint**: Think about how determinant and trace are related to eigenvalues.
Transcribed Image Text:**Problem 3**: Let \( A = \begin{bmatrix} a & b \\ c & d \end{bmatrix} \) be a singular matrix with \( \text{tr} A = 4 \). Find all eigenvalues of \( A \). **Hint**: Think about how determinant and trace are related to eigenvalues.
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