d) A trial solution for y" - y'=e¹ is yp= Ae¹ 2 1 =) L[t²e³t] = 5³ S-3 ) A general solution to an nth order differential equation must contain n consta

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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Problem 1, please help with d,e,f

PROBLEM 1: True or False. You don't have to justify.
a) Let A and B ben x n matrices, then AB=BA.
b) The basis of a (finite dimensional) vector space is always unique.
c) The set of vector {(0,0)} in R2 is linearly dependent.
d) A trial solution for y" - y'=e¹ is yp=Ae¹
2
1
e) L[t2e3t] =
.
5³
S-3
f) A general solution to an nth order differential equation must contain n constants.
Transcribed Image Text:PROBLEM 1: True or False. You don't have to justify. a) Let A and B ben x n matrices, then AB=BA. b) The basis of a (finite dimensional) vector space is always unique. c) The set of vector {(0,0)} in R2 is linearly dependent. d) A trial solution for y" - y'=e¹ is yp=Ae¹ 2 1 e) L[t2e3t] = . 5³ S-3 f) A general solution to an nth order differential equation must contain n constants.
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