In parts (a)-(d), complete the sentences by filling in the blank with the best fit using:...

  

Transcribed Image Text:

In parts (a)-(d), complete the sentences by filling in the blank with the best fit using: at most, at least, or exactly. No work needs to be shown. (a) If a linear transformation T' is one-to-one, then for all 5 Ecodomain(7), there is one 2 domain(7) such that T(2) = 6. (b) If a linear transformation T'is onto, then for all & Ecodomain(7), there is t one 7 domain(7) such that T(2)- 6. (c) If A is an nx n invertible matrix, then for all 5 R", there is such that A(z) = 6. one 2 R (d) If S = {,...) is linearly independent, there is at least one way to express as a linear combination of the elements of S. In parts (a)-(d), complete the sentences by filling in the blank with the best fit using: at most, at least, or exactly. No work needs to be shown. (a) If a linear transformation T' is one-to-one, then for all 5 Ecodomain(7), there is one 2 domain(7) such that T(2) = 6. (b) If a linear transformation T'is onto, then for all & Ecodomain(7), there is t one 7 domain(7) such that T(2)- 6. (c) If A is an nx n invertible matrix, then for all 5 R", there is such that A(z) = 6. one 2 R (d) If S = {,...) is linearly independent, there is at least one way to express as a linear combination of the elements of S.

Answer rating: 100% (QA)

T D 0 0 2 3 Y a If then a one b If T Imear transforma... View the full answer