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Let the charasteristic polynomial of a 3 x 3 matrix A be p(2) = 13- 1. Suppose that A2002 = aA? + bA + cl where I is the 3 x 3 identity matrix. What are the values of a, b and c? a-) a = 0, b = 0, c = 1 b-) a = 0, b = 1, c = 0 c-) a = 1, b = 0, c = 0 d-) a = 0, b = 1, c = 1 e-) a = 1, b = 1, c = 0

Let the charasteristic polynomial of a 3 x 3 matrix A be p(2) = 13- 1. Suppose that A2002 = aA? + bA + cl where I is the 3 x 3 identity matrix. What are the values of a, b and c? a-) a = 0, b = 0, c = 1 b-) a = 0, b = 1, c = 0 c-) a = 1, b = 0, c = 0 d-) a = 0, b = 1, c = 1 e-) a = 1, b = 1, c = 0

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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Let the charasteristic polynomial of a 3 x 3 matrix A be p(2) = 13 - 1. Suppose that A2002 = aA? + bA + cl where I is the 3 x 3 identity matrix. What are the values of a, b and c? a-) a = 0, b = 0, c = 1 b-) a = 0, b = 1, c = 0 c-) a = 1, b = 0, c = 0 d-) a = 0, b = 1, c = 1 e-) a = 1, b = 1, c = 0
Transcribed Image Text:Let the charasteristic polynomial of a 3 x 3 matrix A be p(2) = 13 - 1. Suppose that A2002 = aA? + bA + cl where I is the 3 x 3 identity matrix. What are the values of a, b and c? a-) a = 0, b = 0, c = 1 b-) a = 0, b = 1, c = 0 c-) a = 1, b = 0, c = 0 d-) a = 0, b = 1, c = 1 e-) a = 1, b = 1, c = 0
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