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Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c,where a,b and c are any real numbers.}, and M is the set of all the matrices with 2 rows and 3 columns.

Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c,where a,b and c are any real numbers.}, and M is the set of all the matrices with 2 rows and 3 columns.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c,where a,b and c are any real numbers.}, and M is the set of all the matrices with 2 rows and 3 columns.
Transcribed Image Text:Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c,where a,b and c are any real numbers.}, and M is the set of all the matrices with 2 rows and 3 columns.
5 Find the range of T. (solution) 6. Show that there exists the additive identity of the range of T.
Transcribed Image Text:5 Find the range of T. (solution) 6. Show that there exists the additive identity of the range of T.
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