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In this exercise, T: R2 > R2 is a function. For each of the following parts, state why T

Chapter 2, Problem 9

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QUESTION:

In this exercise, T: R2 > R2 is a function. For each of the following parts, state why T is not linear. (a) T(oi,o2 ) = (l,o2 ) (b) T(ai,a 2 ) = (oi,of) (c) T(ai, a2) = (sinai,0) (d) T(oi,a 2 ) = (|oi|,o2) (e) T(ai,a2 ) = (ai 4-1, a2)

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QUESTION:

In this exercise, T: R2 > R2 is a function. For each of the following parts, state why T is not linear. (a) T(oi,o2 ) = (l,o2 ) (b) T(ai,a 2 ) = (oi,of) (c) T(ai, a2) = (sinai,0) (d) T(oi,a 2 ) = (|oi|,o2) (e) T(ai,a2 ) = (ai 4-1, a2)

ANSWER:

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is a function, for each of the following , state why ‘T’ is not linear.

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