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5 Apr 2018
5. Let T:R$ → R* be a linear transformation. Which of the following statements are TRUE? (i) If T is one-to-one, then T(x) = 0 has non-trivial solutions. (ii) If T is one-to-one, then T must also be onto. (iii) You can always find a 3 x 3 matrix A such that T(x) = Ax for every x ER. (A) (i) only (B) (ii) only (C) (iii) only (D) (i) and (ii) only (E) (ii) and (iii) only
5. Let T:R$ → R* be a linear transformation. Which of the following statements are TRUE? (i) If T is one-to-one, then T(x) = 0 has non-trivial solutions. (ii) If T is one-to-one, then T must also be onto. (iii) You can always find a 3 x 3 matrix A such that T(x) = Ax for every x ER. (A) (i) only (B) (ii) only (C) (iii) only (D) (i) and (ii) only (E) (ii) and (iii) only
13 Jun 2023
teacherrecoLv10
20 Apr 2022
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Lelia LubowitzLv2
7 Apr 2018
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