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1. Let T1: P2 tions given by the formulas P3 and T2: P→ P3 be the linear transforma- T (p(x)) = xp(x) and T(p(x)) = p(x+1) %3D a. Find formulas for TT' (p(x)),T;' (p(x)) and (T¡' T7') (p(x)) b. Verify that (T, T1)- = T7' . T7'.

1. Let T1: P2 tions given by the formulas P3 and T2: P→ P3 be the linear transforma- T (p(x)) = xp(x) and T(p(x)) = p(x+1) %3D a. Find formulas for TT' (p(x)),T;' (p(x)) and (T¡' T7') (p(x)) b. Verify that (T, T1)- = T7' . T7'.

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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New tab Math 81, HW 18, Tavakoli, Sp22,X PDF | C:/Users/Torialai/Downloads/Math%2081.%20HW%2018,.%20Tavakoli,%20Sp22.%20nc.pdf D Page vjew AN Read aloud OAdd text | V Draw E Highlight, O Eras ou may not have access to some features. View permissions 1. Let T: P,→ P, and T2: P, → P, be the linear transforma- tions given by the formulas T (p(x)) = xp(x) and T2 (p(x)) = p(x+1) %3D a. Find formulas for TI' (p(x)),T7' (p(x)) and (T¡' • T7')(p(x)) b. Verify that (T, T)- = T†' T7'. X.
Transcribed Image Text:New tab Math 81, HW 18, Tavakoli, Sp22,X PDF | C:/Users/Torialai/Downloads/Math%2081.%20HW%2018,.%20Tavakoli,%20Sp22.%20nc.pdf D Page vjew AN Read aloud OAdd text | V Draw E Highlight, O Eras ou may not have access to some features. View permissions 1. Let T: P,→ P, and T2: P, → P, be the linear transforma- tions given by the formulas T (p(x)) = xp(x) and T2 (p(x)) = p(x+1) %3D a. Find formulas for TI' (p(x)),T7' (p(x)) and (T¡' • T7')(p(x)) b. Verify that (T, T)- = T†' T7'. X.
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