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Use a software program or a graphing utility with matrix capabilities to write v as a linear combination of u, u2, u3, u4, and us. Then verify your solution. v = (3, 6, 6, -3, 1) u1 = (1, 1, -1, 2, 1) u2 = (2, 1, 2, -1, 1) u3 = (1, 2, 0, 1, 2) u4 = (0, 2, 0, 1, -4) us = (1, 1, 2, -1, 2) Jus + V

Use a software program or a graphing utility with matrix capabilities to write v as a linear combination of u, u2, u3, u4, and us. Then verify your solution. v = (3, 6, 6, -3, 1) u1 = (1, 1, -1, 2, 1) u2 = (2, 1, 2, -1, 1) u3 = (1, 2, 0, 1, 2) u4 = (0, 2, 0, 1, -4) us = (1, 1, 2, -1, 2) Jus + V

Advanced Engineering Mathematics
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 u, u2, u3, u4, and us. Then verify your solution. v = (3, 6, 6, -3, 1) u1 = (1, 1, -1, 2, 1) u2 = (2, 1, 2, -1, 1) u3 = (1, 2, 0, 1, 2) u4 = (0, 2, 0, 1, -4) us = (1, 1, 2, -1, 2) Ju4 + V
Transcribed Image Text:Use a software program or a graphing utility with matrix capabilities to write v as a linear combination of u, u2, u3, u4, and us. Then verify your solution. v = (3, 6, 6, -3, 1) u1 = (1, 1, -1, 2, 1) u2 = (2, 1, 2, -1, 1) u3 = (1, 2, 0, 1, 2) u4 = (0, 2, 0, 1, -4) us = (1, 1, 2, -1, 2) Ju4 + V
Expert Solution
Step 1

We have to write the vector v=3, 6, 6, -3, 1 as the linear combination of the

vectors u1, u2, u3, u4 and u5.

So we can write v=au1+bu2+cu3+du4+eu5 where a, b, c, d and e are the

constants to be determined.

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