Use a software program or a graphing utility with matrix capabilities to write v as a linear combination of u1, u2, u3, u4, and u5. Then verify your solution. v = (5, 8, 7, –2, 4) u1 = (1, 1, -1, 2, 1) u2 = (2, 1, 2, -1, 1) uz = (1, 2, 0, 1, 2) u4 = (0, 2, 0, 1, -4) u5 = (1, 1, 2, -1, 2) Jus + Dus V +
Use a software program or a graphing utility with matrix capabilities to write v as a linear combination of u1, u2, u3, u4, and u5. Then verify your solution. v = (5, 8, 7, –2, 4) u1 = (1, 1, -1, 2, 1) u2 = (2, 1, 2, -1, 1) uz = (1, 2, 0, 1, 2) u4 = (0, 2, 0, 1, -4) u5 = (1, 1, 2, -1, 2) Jus + Dus V +
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Use a software program or a graphing utility with matrix capabilities to write **v** as a linear combination of **u₁**, **u₂**, **u₃**, **u₄**, and **u₅**. Then verify your solution.
**v** = (5, 8, 7, -2, 4)
**u₁** = (1, 1, -1, 2, 1)
**u₂** = (2, 1, 2, -1, 1)
**u₃** = (1, 2, 0, 1, 2)
**u₄** = (0, 2, 0, 1, -4)
**u₅** = (1, 1, 2, -1, 2)
\[ **v** = (\text{ } \_\_\_\_\_\_\_\_ \text{ })\text{ }**u₁** + (\text{ } \_\_\_\_\_\_\_\_ \text{ })\text{ }**u₂** + (\text{ } \_\_\_\_\_\_\_\_ \text{ })\text{ }**u₃** + (\text{ } \_\_\_\_\_\_\_\_ \text{ })\text{ }**u₄** + (\text{ } \_\_\_\_\_\_\_\_ \text{ })\text{ }**u₅** \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf74fb9e-b533-4057-a79c-37c4b56e1189%2F328d7dd2-7dff-483a-94a3-21aede2ada7f%2Fn38nasc_processed.png&w=3840&q=75)
Transcribed Image Text:Use a software program or a graphing utility with matrix capabilities to write **v** as a linear combination of **u₁**, **u₂**, **u₃**, **u₄**, and **u₅**. Then verify your solution.
**v** = (5, 8, 7, -2, 4)
**u₁** = (1, 1, -1, 2, 1)
**u₂** = (2, 1, 2, -1, 1)
**u₃** = (1, 2, 0, 1, 2)
**u₄** = (0, 2, 0, 1, -4)
**u₅** = (1, 1, 2, -1, 2)
\[ **v** = (\text{ } \_\_\_\_\_\_\_\_ \text{ })\text{ }**u₁** + (\text{ } \_\_\_\_\_\_\_\_ \text{ })\text{ }**u₂** + (\text{ } \_\_\_\_\_\_\_\_ \text{ })\text{ }**u₃** + (\text{ } \_\_\_\_\_\_\_\_ \text{ })\text{ }**u₄** + (\text{ } \_\_\_\_\_\_\_\_ \text{ })\text{ }**u₅** \]
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