Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Let \( S = \{2x + 1, x - 3\} \). Use the definition of span to show \(\text{span}(S) = \mathbb{P}_1\). Use the process to generate formulas for \( c_1 \) and \( c_2 \). Check your results by using those formulas to write \( \vec{v} = 7x - 14 \) in terms of the vectors in \( S \). Write out every step. **Show all work.**
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Transcribed Image Text:Let \( S = \{2x + 1, x - 3\} \). Use the definition of span to show \(\text{span}(S) = \mathbb{P}_1\). Use the process to generate formulas for \( c_1 \) and \( c_2 \). Check your results by using those formulas to write \( \vec{v} = 7x - 14 \) in terms of the vectors in \( S \). Write out every step. **Show all work.**
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