Mathematics · Linear Algebra
If the vector v = (4, 9, 19) is expressed as a linear combination of u 1 = (1, -2, 3), u 2 = (3, -7, 10), and u 3 = (2, 1, 9), then which of the following is correct?
- 1v = u 1 + 2u 2 - 3u 3
- 2v = 4u 1 + 2u 2 - 3u 3
- 3v = 4u 1 - 2u 2 + 3u 3✓
- 4v = 3u 1 + 4u 2 - 2u 3
Correct answer
v = 4u 1 - 2u 2 + 3u 3
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