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19 Jan 2018

1 4. If A=1 7 0 05 - 4 0 5 0 , then the eigenvalues of A are -2 / (a) 1,2 and -4. (b) 0,1 and -2. (c) 2,3 and 5. (d) -2,3, and 5. (e) None of above

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20 Jan 2018
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

7. Suppose that 4 and -2 are the only eigenvalues of the matrix A. Which of the following statements is true? (a) 41-A is invertible, and there is a nontrivial solution to Av = -2v. (b) det (41+ A) = det(21 - A) = 0. (c) 41 - A is not invertible, and there is a nontrivial solution to Av = -2v. (d) det(41+ A) = 0, and there is a nontrivial solution to (21 - A)v = 0. (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.

(3)  Dice problems

(a) If you roll two six-sided dice, what is the probability of rolling a 7?

(b) If you roll two four-sided dice (numbered 1,2,3 and 4), what is the probability of rolling a 5?

(c) If you roll a four-sided die and a six-sided die, which roll totals (2,3,......,10) have the highest probability?  

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