2. Given matrix A below complete parts A-E(SHOW WORK) [1 5 0 A= 0 -6 -1 0 0 -2 (a) Find the determinant by hand using any method. Is matrix A invertible? (b) Find the eigenvalues of matrix A.

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
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2. Given matrix A below complete parts A-E(SHOW WORK)
[1 5 0
A= 0 -6 -1
L0 0
(a) Find the determinant by hand using any method. Is matrix A invertible?
(b) Find the eigenvalues of matrix A.
(c) Find the eigenvectors of matrix A.
(d) Construct the diagonalization of A.
AT 225-Linear Algebra
(e) Calculate A³ by hand (Hint use previous)
Transcribed Image Text:2. Given matrix A below complete parts A-E(SHOW WORK) [1 5 0 A= 0 -6 -1 L0 0 (a) Find the determinant by hand using any method. Is matrix A invertible? (b) Find the eigenvalues of matrix A. (c) Find the eigenvectors of matrix A. (d) Construct the diagonalization of A. AT 225-Linear Algebra (e) Calculate A³ by hand (Hint use previous)
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