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MTH 2114. Fall 2021. NAME: Written Assignment 8. Due Monday October 25, at 11:59PM on Canvas. 1. For each of the following pairs of vectors

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MTH 2114. Fall 2021. NAME: Written Assignment 8. Due Monday October 25, at 11:59PM on Canvas. 1. For each of the following pairs of vectors and matrices, the vector is an eigenvector of the matrix. Multiply the matrix and the vector to determine the corresponding eigenvalue. If the eigenvalue is a complex number, write it in the form a + bi. 2 3 1 1 N CO N N ( a) A = (1 point) N 2 2 CO I (1 point) (2 points) 2. For each of the following matrices, find the eigenvalues and eigenvectors. (a) A = co co (5 points) ( b ) A - 1 4 ) (6 points)

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