Use properties of determinants to evaluate the given determinant by inspection. 0200 -5000 0006 0 0 1 0
Use properties of determinants to evaluate the given determinant by inspection. 0200 -5000 0006 0 0 1 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![**Use properties of determinants to evaluate the given determinant by inspection.**
Matrix:
\[
\begin{bmatrix}
0 & 2 & 0 & 0 \\
-5 & 0 & 0 & 0 \\
0 & 0 & 6 & 0 \\
0 & 0 & 1 & 0 \\
\end{bmatrix}
\]
### Explanation:
This is a 4x4 matrix. The matrix has a block structure with non-zero elements in separate rows and columns. The determinant can be evaluated by inspection due to its simplified form where non-diagonal elements and entire rows or columns are zeros except for one entry.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F992f5037-f1cc-4483-8aa3-731b184958ad%2Fb7b5cf7a-3314-4656-a111-47a732555f76%2Fi09is4c_processed.png&w=3840&q=75)
Transcribed Image Text:**Use properties of determinants to evaluate the given determinant by inspection.**
Matrix:
\[
\begin{bmatrix}
0 & 2 & 0 & 0 \\
-5 & 0 & 0 & 0 \\
0 & 0 & 6 & 0 \\
0 & 0 & 1 & 0 \\
\end{bmatrix}
\]
### Explanation:
This is a 4x4 matrix. The matrix has a block structure with non-zero elements in separate rows and columns. The determinant can be evaluated by inspection due to its simplified form where non-diagonal elements and entire rows or columns are zeros except for one entry.
Expert Solution
Step 1: Given information
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
