Let a² a³ a A = | a? a a a? a a) Find a such that det(A) = 0. b) For which values of a does the linear system ´a² _a³ a a a? 0 a a? q? a a have (1) no solution, (ii) infinitely many solutions,

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.2: Systems Of Linear Equations In Several Variables
Problem 49E
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Let
´a² a³
a
A = | a? 0
a
a
a?
a
a) Find a such that det(A) = 0.
b) For which values of a does the linear system
a² a3
a
a
a?
a
a?
a2
a
a
have
(1) no solution,
(ii) infinitely many solutions,
(iii) a unique solution?
Transcribed Image Text:Let ´a² a³ a A = | a? 0 a a a? a a) Find a such that det(A) = 0. b) For which values of a does the linear system a² a3 a a a? a a? a2 a a have (1) no solution, (ii) infinitely many solutions, (iii) a unique solution?
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