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11 Apr 2018

2 2 5. Let A =( ). Which one of the following is true? LEA 26 ) (I is the 2 x 2 identity matrix) A) = 3 is an eigenvalue of A and is a corresponding eigenvector 2 (B) A +31 is not diagonalizable C) = 4 is an eigenvalue of A and is a corresponding eigenvector D) A is diagonalizable E) None of the above.

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Keith Leannon
Keith LeannonLv2
13 Apr 2018
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

2. Let A= 3 S 03 [it] BE where s and t are real numbers. [ 0 -2] Which one of the following statements is true ? (A) A is diagonalizable for all s, and B is diagonalizable only if t = 0. (B) A is diagonalizable if s= 0, and B is not diagonalizable if t +0. (C) A is not diagonalizable if s 70, and B is diagonalizable for all t. (D) A and B are both diagonalizable for all s and all t. (E) A and B are diagonalizable only if s= 0 and t = 0.

1. Suppose that A is a 3 x 4 matrix B is a 4x6 matrix, C is a 4x3 matrix and D is a 3 x 6 matrix. Consider the following: (1)(C+AT), (2) DDTC, (3) DBT(C-24"), (4) (AB-D)B",(5) (A" +3C)D (6) ACTDT-2C. Which of the following is true? (a) All six of these are defined. (b) None of these six are defined. (c) (1), (2), (3), (4) and (5) are defined; (6) is not. (d) (1), (3) and (4) are defined; (2), (5) and (6) are not defined. (e) None of the above

1. Suppose that 4 and -1 are the only eigenvalues of a 2 x 2 matrix A. Which one of the following statements is true? A) 41 - A is invertible, and there is a nontrivial solution to Av = -v. B) 41 - A is not invertible, and there is a nontrivial solution to Av = v. C) det(41+ A) = det(-I + A) = 0. (D) det(41 - A) = 0 and rank(A + 1) = 1. E) None of the above.

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