Find the eigenvectors for this matrix A. Enter in Question 2 the first component of an eigenvector for the largest eigenvalue, if the second component is 1. Find the matrix R for the reflection across the line in the direction of the vector . Check your answer using the applet. Enter in Question 3 the first component of . Enter in Question 4 the least positive n such that , divided by its length, is within a distance .01 of an eigenvector of length 1.
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