Suppose that a matrix A has characteristic polynomial p(^) = 24 − 3a³ + 82² – 24. Consider the following statements. (i) A is a 3 x 3 matrix. (ii) That same p(2) is also the characteristic polynomial of A¯¹. (iii) = 2 is an eigenvalue of A. Determine which of the above statements are True (1) or False (2).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
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Suppose that a matrix A has characteristic polynomial p(^) = 2ª − 3λ³ + 8λ² – 24. Consider the following
statements.
(i) A is a 3 x 3 matrix.
(ii) That same p(2) is also the characteristic polynomial of A¯¹.
(iii)
2 is an eigenvalue of A.
Determine which of the above statements are True (1) or False (2).
Transcribed Image Text:Suppose that a matrix A has characteristic polynomial p(^) = 2ª − 3λ³ + 8λ² – 24. Consider the following statements. (i) A is a 3 x 3 matrix. (ii) That same p(2) is also the characteristic polynomial of A¯¹. (iii) 2 is an eigenvalue of A. Determine which of the above statements are True (1) or False (2).
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