Practice Test 5

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Department
Mathematics
Course
MATH 1502
Professor
Geronimo
Semester
Fall

Description
Math 1502 Practice Test 5 Geronimo 1a. Find the eigenvalues and corresponding eigenvectors to the matrix A = 1 3 3 1 b. Find A 15(Show all work). 1 c. Solve¯n= Ax ¯n−1, ¯(0) = . 2 d. Suppose B is a 4 × 4 matrix with three distinct eigenvalues. One eigenvalue has geometric multiplicity one and one has geometric multiplicity two. Is it possible that B is not diagonalizable? 3 2. Let L be the line in R given by   1   L = {¯ = t 2 , −∞ < t < ∞} 1 T and ¯ = [2,1,1] a. Find the orthogonal projection ¯ onto L. b. Find the matrix representing the orthogonal projection onto L. c. Find the matrix that represents the r
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