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
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
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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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