Let u = < 6, 5 > and v = < 7, 6 > . Now, w = < 59, 50 > is a linear combination of i and v. That is, w = aju + azv. Determine aį and aɔ. a2=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let \(\vec{u} = \langle 6, 5 \rangle\) and \(\vec{v} = \langle 7, 6 \rangle\).

Now, \(\vec{w} = \langle 59, 50 \rangle\) is a linear combination of \(\vec{u}\) and \(\vec{v}\).

That is, \(\vec{w} = a_1 \vec{u} + a_2 \vec{v}\). Determine \(a_1\) and \(a_2\).

\[a_1 = \text{\_\_\_\_}\]

\[a_2 = \text{\_\_\_\_}\]
Transcribed Image Text:Let \(\vec{u} = \langle 6, 5 \rangle\) and \(\vec{v} = \langle 7, 6 \rangle\). Now, \(\vec{w} = \langle 59, 50 \rangle\) is a linear combination of \(\vec{u}\) and \(\vec{v}\). That is, \(\vec{w} = a_1 \vec{u} + a_2 \vec{v}\). Determine \(a_1\) and \(a_2\). \[a_1 = \text{\_\_\_\_}\] \[a_2 = \text{\_\_\_\_}\]
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