Question: please do 9, 23, 68 In Exercises 1-12, a matrix and a vector are given. Show thur the vector is an eigenvector of the matrix

please do 9, 23, 68

please do 9, 23, 68 In Exercises 1-12, a matrixplease do 9, 23, 68 In Exercises 1-12, a matrixplease do 9, 23, 68 In Exercises 1-12, a matrixplease do 9, 23, 68 In Exercises 1-12, a matrix
In Exercises 1-12, a matrix and a vector are given. Show thur the vector is an eigenvector of the matrix and determine the corresponding eigenvalue. -10 1. 24 2. 3. 4. ['S 24] . [-1] 5. 42 -18 -9 in u 6. 6 6 -6 7. 14 8. 10 -6 6 9. NON 9 -6 16 -13In Exercises 13-24, a matrix and a scalar A are given. Show the 2 is an eigenvalue of the matrix and determine a basis for its eigenspace.\f68. Suppose that A is a square matrix in which the sum of the entries of cach row equals the same scalar r. Show that / is an eigenvalue of A by finding an cigenvector of A corresponding to r

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