Let v = Find [-13]; ®= { [4]· [H] }; × = {[3]· B]}-· B C a. [v]: b. [v]: c. [B]: d. [B][v]: e. Are [B][v] and [v] equal? ? î
Let v = Find [-13]; ®= { [4]· [H] }; × = {[3]· B]}-· B C a. [v]: b. [v]: c. [B]: d. [B][v]: e. Are [B][v] and [v] equal? ? î
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
![Let \(\mathbf{v} = \begin{bmatrix} -13 \\ -4 \end{bmatrix}\); \(\mathcal{B} = \left\{ \begin{bmatrix} 4 \\ -4 \end{bmatrix}, \begin{bmatrix} -1 \\ -1 \end{bmatrix} \right\}\); \(\mathcal{C} = \left\{ \begin{bmatrix} -1 \\ 3 \end{bmatrix}, \begin{bmatrix} 1 \\ 1 \end{bmatrix} \right\}\).
Find
a. \([\mathbf{v}]_{\mathcal{B}}:\) [Answer]
b. \([\mathbf{v}]_{\mathcal{C}}:\) [Answer]
c. \([\mathcal{B}]_{\mathcal{C}}:\) [Answer]
d. \([\mathcal{B}]_{\mathcal{C}}[\mathbf{v}]_{\mathcal{B}}:\) [Answer]
e. Are \([\mathcal{B}]_{\mathcal{C}}[\mathbf{v}]_{\mathcal{B}}\) and \([\mathbf{v}]_{\mathcal{C}}\) equal? [Answer]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b87c16f-5797-4fee-9867-0be2bea00aaa%2F7c9ab333-92ee-4ea2-9b49-3c0e645c024b%2F57a7vxg_processed.png&w=3840&q=75)
Transcribed Image Text:Let \(\mathbf{v} = \begin{bmatrix} -13 \\ -4 \end{bmatrix}\); \(\mathcal{B} = \left\{ \begin{bmatrix} 4 \\ -4 \end{bmatrix}, \begin{bmatrix} -1 \\ -1 \end{bmatrix} \right\}\); \(\mathcal{C} = \left\{ \begin{bmatrix} -1 \\ 3 \end{bmatrix}, \begin{bmatrix} 1 \\ 1 \end{bmatrix} \right\}\).
Find
a. \([\mathbf{v}]_{\mathcal{B}}:\) [Answer]
b. \([\mathbf{v}]_{\mathcal{C}}:\) [Answer]
c. \([\mathcal{B}]_{\mathcal{C}}:\) [Answer]
d. \([\mathcal{B}]_{\mathcal{C}}[\mathbf{v}]_{\mathcal{B}}:\) [Answer]
e. Are \([\mathcal{B}]_{\mathcal{C}}[\mathbf{v}]_{\mathcal{B}}\) and \([\mathbf{v}]_{\mathcal{C}}\) equal? [Answer]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps with 47 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,
