Mathematics · Linear Algebra
Let V be a vector space of dimension 3 over ℝ. Let T : V → V be a linear transformation, given by the matrix A = 1 -1 01 -4 3 -2 5 -3 with respect to an ordered basis {v1, v2, v3} of V. Then which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1T(v3) = 0
- 2T(v1 + v2) = 0
- 3T(v1 + v2 + v3) = 0✓
- 4T(v1 + v3) = T(v2)
Correct answer
T(v1 + v2 + v3) = 0
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