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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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11 Find the dimension of the range of T (solution) 12. Choose one vector in your basis of the range of T, and then find the null space of the vector.
Transcribed Image Text:11 Find the dimension of the range of T (solution) 12. Choose one vector in your basis of the range of T, and then find the null space of the vector.
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.
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