Use an inverse matrix to find [x] for the given x and B. 8 - 3 {:][*][:] X= - 6 2 B = [X] B (Simplify your answer.) 8 - 4
Use an inverse matrix to find [x] for the given x and B. 8 - 3 {:][*][:] X= - 6 2 B = [X] B (Simplify your answer.) 8 - 4
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
Hello there! can you help me solve problem? Thank you!
![Use an inverse matrix to find \([x]_B\) for the given \(x\) and \(B\).
\[
B = \left\{ \begin{bmatrix} 8 \\ -6 \end{bmatrix}, \begin{bmatrix} -3 \\ 2 \end{bmatrix} \right\}, \quad x = \begin{bmatrix} 8 \\ -4 \end{bmatrix}
\]
\[
[x]_B = \boxed{\phantom{}}
\]
(Simplify your answer.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe00cebfb-aec4-474d-8979-79a2d105b819%2F3446c8c2-cef1-44dc-b506-974f0e0d4721%2F36hefl_processed.png&w=3840&q=75)
Transcribed Image Text:Use an inverse matrix to find \([x]_B\) for the given \(x\) and \(B\).
\[
B = \left\{ \begin{bmatrix} 8 \\ -6 \end{bmatrix}, \begin{bmatrix} -3 \\ 2 \end{bmatrix} \right\}, \quad x = \begin{bmatrix} 8 \\ -4 \end{bmatrix}
\]
\[
[x]_B = \boxed{\phantom{}}
\]
(Simplify your answer.)
![The set \( B = \{ 1-t^2, \, t + t^2, \, 1 + 2t - t^2 \} \) is a basis for \( \mathbb{P}_2 \). Find the coordinate vector of \( p(t) = -7 - t + 10t^2 \) relative to \( B \).
\[
[p]_B = \boxed{\phantom{0}}
\]
(Simplify your answer.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe00cebfb-aec4-474d-8979-79a2d105b819%2F3446c8c2-cef1-44dc-b506-974f0e0d4721%2Fodp30q_processed.png&w=3840&q=75)
Transcribed Image Text:The set \( B = \{ 1-t^2, \, t + t^2, \, 1 + 2t - t^2 \} \) is a basis for \( \mathbb{P}_2 \). Find the coordinate vector of \( p(t) = -7 - t + 10t^2 \) relative to \( B \).
\[
[p]_B = \boxed{\phantom{0}}
\]
(Simplify your answer.)
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 4 steps with 4 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,
