Answered: PT: R³ → R' onto - T: R² –→ R³…

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PT: R³ → R' onto - T: R² –→ R³ one-to-one - T: R³ → R³ such that Ker(T) = {(x,y, z) : x = y²}.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 25E

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Question

lienar algebra

When possible, an example of a linear transformation T that satisfies the condition in hint on each item

1} T:R³ → R'
onto
-
2) T: R? –
→ R3 one-to-one
3) T: R³ → R³ such that Ker(T) = {(x,y, z) : x = y²}.

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