The function T : M2(R) P2(R), where P2(R) denotes the set of real polynomials that have degree in the maximum2,defined by a T = (a + b) + (c + 2d)x + (2c + 4d)x² d is linear. calculate Im(T). find a basis for Im(Т).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The function T : M2(R) → P, (R), where P2 (R) denotes the set of real polynomials that have degree in the maximum2,defined by
a
= (a + b) + (c+ 2d)x + (2c+ 4d)æ²
c d
is linear. calculate
Im(T).
Im(Т).
find a basis for
Transcribed Image Text:The function T : M2(R) → P, (R), where P2 (R) denotes the set of real polynomials that have degree in the maximum2,defined by a = (a + b) + (c+ 2d)x + (2c+ 4d)æ² c d is linear. calculate Im(T). Im(Т). find a basis for
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