ROBLEM 1: True or False. You don't have to justify. O Let A and B be nxn matrices, then AB=BA. ) The basis of a (finite dimensional) vector space is always unique The set of vector {(0,0)} in R2 is linearly dependent.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem 1, please look at the attached image

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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