Mathematics · Linear Algebra
Let T: R2 → R3 be a linear transformation for which T(1, 2) = (3, −1, 5) and T(0, 1) = (2, 1, −1). Find T(a, b).
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(−a + b, −2a + b, a − b)
- 2(3a + 2b, −a + b, 5a − b)
- 3(−a + 2b, −3a + b, 7a − b)✓
- 4(a + 2b, 3a + b, 7a + b)
Correct answer
(−a + 2b, −3a + b, 7a − b)
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