Problem #4: Suppose that a matrix A has characteristic polynomial p(2) = 24 62³ + 322 + 21. Consider the following statements. Problem #4: (i) = 2 is an eigenvalue of A. (ii) A is a 3 x 3 matrix. (iii) That same p(2) is also the characteristic polynomial of AT. 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). W

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
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Problem #4: Suppose that a matrix A has characteristic polynomial p(2) = 24 62³ + 32² + 21. Consider the following
statements.
Problem #4:
(i) = 2 is an eigenvalue of A.
(ii) A is a 3 x 3 matrix.
(iii) That same p(2) is also the characteristic polynomial of AT.
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).
4
Transcribed Image Text:Problem #4: Suppose that a matrix A has characteristic polynomial p(2) = 24 62³ + 32² + 21. Consider the following statements. Problem #4: (i) = 2 is an eigenvalue of A. (ii) A is a 3 x 3 matrix. (iii) That same p(2) is also the characteristic polynomial of AT. 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). 4
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