[M] In Exercises 37-40, let T be the linear transformation whose standard matrix is given. In Exercises 37 and 38, decide if T is a one-to-one mapping. In Exercises 39 and 40, decide if T maps ℝ 3 onto ℝ 5 . Justify your answers. 39. [ 4 − 7 3 7 5 6 − 8 5 12 − 8 − 7 10 − 8 − 9 14 3 − 5 4 2 − 6 − 5 6 − 6 − 7 3 ]
[M] In Exercises 37-40, let T be the linear transformation whose standard matrix is given. In Exercises 37 and 38, decide if T is a one-to-one mapping. In Exercises 39 and 40, decide if T maps ℝ 3 onto ℝ 5 . Justify your answers. 39. [ 4 − 7 3 7 5 6 − 8 5 12 − 8 − 7 10 − 8 − 9 14 3 − 5 4 2 − 6 − 5 6 − 6 − 7 3 ]
Solution Summary: The author explains that the transformation T does not map R5 onto
[M] In Exercises 37-40, let T be the linear transformation whose standard matrix is given. In Exercises 37 and 38, decide if T is a one-to-one mapping. In Exercises 39 and 40, decide if T maps ℝ3 onto ℝ5. Justify your answers.
Linear Algebra and Its Applications plus New MyLab Math with Pearson eText -- Access Card Package (5th Edition) (Featured Titles for Linear Algebra (Introductory))
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