2. Determine whether w can be written as a linear combination of u and v. combination. If not, justify. If so, write the linear u(x) = 3x²+x+2, v(x) = x² -2x+3, w(x) = x²-1.
2. Determine whether w can be written as a linear combination of u and v. combination. If not, justify. If so, write the linear u(x) = 3x²+x+2, v(x) = x² -2x+3, w(x) = x²-1.
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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Transcribed Image Text:2. Determine whether w can be written as a linear combination of u and v.
combination. If not, justify.
If so, write the linear
u(x) = 3x²+x+2,
v(x) = x² -2x+3,
w(x) = x²-1.
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