Problem #4: Suppose that a matrix A has characteristic polynomial p() = 24 - 32³ +62² 15. Consider the following statements. (1) λ = 2 is an eigenvalue of A. (ii) That same p() is also the characteristic polynomial of AT (iii) A is a 3 x 3 matrix. Determine which of the above statements are True (1) or False (2). So, for example, if you think that the answers, in the above order, are True,False,False, then you would enter '1,2,2' into the answer box below (without the quotes).

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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Problem #4: Suppose that a matrix A has characteristic polynomial p() = 24 - 32³ + 62² - 15. Consider the following
statements.
(1) λ = 2 is an eigenvalue of A.
(11) That same p(2) is also the characteristic polynomial of A¹.
(111) A is a 3 x 3 matrix.
Determine which of the above statements are True (1) or False (2).
So, for example, if you think that the answers, in the above order, are True False,False, then you would enter
'1.2.2' into the answer box below (without the quotes).
Transcribed Image Text:Problem #4: Suppose that a matrix A has characteristic polynomial p() = 24 - 32³ + 62² - 15. Consider the following statements. (1) λ = 2 is an eigenvalue of A. (11) That same p(2) is also the characteristic polynomial of A¹. (111) A is a 3 x 3 matrix. Determine which of the above statements are True (1) or False (2). So, for example, if you think that the answers, in the above order, are True False,False, then you would enter '1.2.2' into the answer box below (without the quotes).
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