4. Consider the matrix -a -a (a² + a) 0 0 0 -2a 0 -(2-a²) 2+4a-a² -2a Find all values of a for which this matrix is psd. Are there values of a for which the matrix is pd? (2-a²) (2-a²)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 1CC
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4. Consider the matrix
0
-2a
-a
-a (a² + a)
0
(2-a²) -(2-a²)
(2-a²) 2+4a-a²
0
-2a
Find all values of a for which this matrix is psd. Are there values of a for which the matrix is pd?
Transcribed Image Text:4. Consider the matrix 0 -2a -a -a (a² + a) 0 (2-a²) -(2-a²) (2-a²) 2+4a-a² 0 -2a Find all values of a for which this matrix is psd. Are there values of a for which the matrix is pd?
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