10 k 0 1 5 11. Let A = Find the value of k so that the matrix A does not have an inverse? -2 0 6 (А) —3 (В) 3 (C) 6 (D) 0 (E) -6 (F) None of the above
10 k 0 1 5 11. Let A = Find the value of k so that the matrix A does not have an inverse? -2 0 6 (А) —3 (В) 3 (C) 6 (D) 0 (E) -6 (F) None of the above
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
Please select the correct answer and explain in detail your reasoning.
![11. Let \( A = \begin{bmatrix} 1 & 0 & k \\ 0 & 1 & 5 \\ -2 & 0 & 6 \end{bmatrix} \). Find the value of \( k \) so that the matrix \( A \) does not have an inverse.
(A) \(-3\)
(B) \(3\)
(C) \(6\)
(D) \(0\)
(E) \(-6\)
(F) None of the above
This question involves finding the value of \( k \) for which the given \( 3 \times 3 \) matrix does not have an inverse, which occurs when the determinant of the matrix is zero. The matrix \( A \) is defined as:
\[ \begin{bmatrix} 1 & 0 & k \\ 0 & 1 & 5 \\ -2 & 0 & 6 \end{bmatrix} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae61d4f1-832a-4ede-b1d3-06ef4889bc0e%2F46fb5fa5-05ef-4d85-91e1-4185dec93619%2Fhyobuin_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11. Let \( A = \begin{bmatrix} 1 & 0 & k \\ 0 & 1 & 5 \\ -2 & 0 & 6 \end{bmatrix} \). Find the value of \( k \) so that the matrix \( A \) does not have an inverse.
(A) \(-3\)
(B) \(3\)
(C) \(6\)
(D) \(0\)
(E) \(-6\)
(F) None of the above
This question involves finding the value of \( k \) for which the given \( 3 \times 3 \) matrix does not have an inverse, which occurs when the determinant of the matrix is zero. The matrix \( A \) is defined as:
\[ \begin{bmatrix} 1 & 0 & k \\ 0 & 1 & 5 \\ -2 & 0 & 6 \end{bmatrix} \]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 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,
